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2523240000 = 26325443163
BaseRepresentation
bin1001011001100101…
…1001011001000000
320111211220212120100
42112121121121000
520131422140000
61054213442400
7116346120561
oct22631313100
96454825510
102523240000
111085337616
125a5040400
133129a8528
1419d180168
15eb7bba00
hex96659640

2523240000 has 420 divisors, whose sum is σ = 9304534096. Its totient is φ = 653184000.

The previous prime is 2523239981. The next prime is 2523240007. The reversal of 2523240000 is 423252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2523240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15479919 + ... + 15480081.

Almost surely, 22523240000 is an apocalyptic number.

2523240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652267048).

2523240000 is an abundant number, since it is smaller than the sum of its proper divisors (6781294096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2523240000 is a wasteful number, since it uses less digits than its factorization.

2523240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2523240000 is about 50231.8623982826. The cubic root of 2523240000 is about 1361.4013813185.

Adding to 2523240000 its reverse (423252), we get a palindrome (2523663252).

The spelling of 2523240000 in words is "two billion, five hundred twenty-three million, two hundred forty thousand".