2500152480 has 720 divisors, whose sum is σ = 10678542336. Its totient is φ = 548674560.

The previous prime is 2500152439. The next prime is 2500152521. The reversal of 2500152480 is 842510052.

It is a happy number.

2500152480 is a `hidden beast` number, since 2 + 500 + 152 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2500152439) and next prime (2500152521).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19686177 + ... + 19686303.

Almost surely, 2^2500152480 is an apocalyptic number.

2500152480 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 2500152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339271168).

2500152480 is an abundant number, since it is smaller than the sum of its proper divisors (8178389856).

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

2500152480 is a wasteful number, since it uses less digits than its factorization.

2500152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2500152480 is about 50001.5247767506. The cubic root of 2500152480 is about 1357.2364006964.

The spelling of 2500152480 in words is "two billion, five hundred million, one hundred fifty-two thousand, four hundred eighty".