2032500960 has 576 divisors, whose sum is σ = 8703676800. Its totient is φ = 421134336.

The previous prime is 2032500941. The next prime is 2032500979. The reversal of 2032500960 is 690052302.

It is an interprime number because it is at equal distance from previous prime (2032500941) and next prime (2032500979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4969236 + ... + 4969644.

It is an arithmetic number, because the mean of its divisors is an integer number (15110550).

Almost surely, 2^2032500960 is an apocalyptic number.

2032500960 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 2032500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351838400).

2032500960 is an abundant number, since it is smaller than the sum of its proper divisors (6671175840).

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

2032500960 is a wasteful number, since it uses less digits than its factorization.

2032500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2032500960 is about 45083.2669623664. The cubic root of 2032500960 is about 1266.7091853995.

The spelling of 2032500960 in words is "two billion, thirty-two million, five hundred thousand, nine hundred sixty".