2524416640 has 64 divisors (see below), whose sum is σ = 6041835360. Its totient is φ = 1008612352.

The previous prime is 2524416623. The next prime is 2524416701. The reversal of 2524416640 is 466144252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2524416596 and 2524416605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758019 + ... + 761341.

Almost surely, 2^2524416640 is an apocalyptic number.

2524416640 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 2524416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020917680).

2524416640 is an abundant number, since it is smaller than the sum of its proper divisors (3517418720).

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

2524416640 is a wasteful number, since it uses less digits than its factorization.

2524416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2524416640 is about 50243.5731213456. The cubic root of 2524416640 is about 1361.6129651537.

It can be divided in two parts, 252441 and 6640, that added together give a square (259081 = 509²).

The spelling of 2524416640 in words is "two billion, five hundred twenty-four million, four hundred sixteen thousand, six hundred forty".