1641516240 has 160 divisors (see below), whose sum is σ = 6263099136. Its totient is φ = 346337280.

The previous prime is 1641516199. The next prime is 1641516241. The reversal of 1641516240 is 426151461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1641516198 and 1641516207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641516241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15741 + ... + 59420.

Almost surely, 2^1641516240 is an apocalyptic number.

1641516240 is a gapful number since it is divisible by the number (10) 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 1641516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131549568).

1641516240 is an abundant number, since it is smaller than the sum of its proper divisors (4621582896).

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

1641516240 is a wasteful number, since it uses less digits than its factorization.

1641516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75197 (or 75191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1641516240 is about 40515.6295767448. The cubic root of 1641516240 is about 1179.6370232800.

The spelling of 1641516240 in words is "one billion, six hundred forty-one million, five hundred sixteen thousand, two hundred forty".