2505388032 has 468 divisors, whose sum is σ = 8982905880. Its totient is φ = 668860416.

The previous prime is 2505388021. The next prime is 2505388037. The reversal of 2505388032 is 2308835052.

It is a super-4 number, since 4×2505388032⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505388037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34320348 + ... + 34320420.

Almost surely, 2^2505388032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491452940).

2505388032 is an abundant number, since it is smaller than the sum of its proper divisors (6477517848).

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

2505388032 is a wasteful number, since it uses less digits than its factorization.

2505388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2505388032 is about 50053.8513203530. The cubic root of 2505388032 is about 1358.1831332717.

The spelling of 2505388032 in words is "two billion, five hundred five million, three hundred eighty-eight thousand, thirty-two".