2407528032 has 576 divisors, whose sum is σ = 8765729280. Its totient is φ = 563576832.

The previous prime is 2407528007. The next prime is 2407528043. The reversal of 2407528032 is 2308257042.

It is a junction number, because it is equal to n+sod(n) for n = 2407527984 and 2407528002.

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, 55989003 + ... + 55989045.

It is an arithmetic number, because the mean of its divisors is an integer number (15218280).

Almost surely, 2^2407528032 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 2407528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382864640).

2407528032 is an abundant number, since it is smaller than the sum of its proper divisors (6358201248).

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

2407528032 is a wasteful number, since it uses less digits than its factorization.

2407528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2407528032 is about 49066.5673549720. The cubic root of 2407528032 is about 1340.2643036977.

The spelling of 2407528032 in words is "two billion, four hundred seven million, five hundred twenty-eight thousand, thirty-two".