2532925440 has 168 divisors, whose sum is σ = 8781550128. Its totient is φ = 675348480.

The previous prime is 2532925399. The next prime is 2532925471. The reversal of 2532925440 is 445292352.

2532925440 is a `hidden beast` number, since 25 + 3 + 2 + 92 + 544 + 0 = 666.

It is a super-2 number, since 2×2532925440² = 12831422569198387200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2532925395 and 2532925404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365205 + ... + 372075.

Almost surely, 2^2532925440 is an apocalyptic number.

2532925440 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 2532925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390775064).

2532925440 is an abundant number, since it is smaller than the sum of its proper divisors (6248624688).

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

2532925440 is an equidigital number, since it uses as much as digits as its factorization.

2532925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2532925440 is about 50328.1773959678. The cubic root of 2532925440 is about 1363.1410673459.

The spelling of 2532925440 in words is "two billion, five hundred thirty-two million, nine hundred twenty-five thousand, four hundred forty".