2503664640 has 220 divisors, whose sum is σ = 8973204636. Its totient is φ = 667533312.

The previous prime is 2503664623. The next prime is 2503664641. The reversal of 2503664640 is 464663052.

2503664640 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 6 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 686859264 + 1816805376 = 26208^2 + 42624^2 .

It is a super-3 number, since 3×2503664640³ (a number of 29 digits) contains 333 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 = 2503664595 and 2503664604.

It is not an unprimeable number, because it can be changed into a prime (2503664641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 411702 + ... + 417738.

Almost surely, 2^2503664640 is an apocalyptic number.

2503664640 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 2503664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486602318).

2503664640 is an abundant number, since it is smaller than the sum of its proper divisors (6469539996).

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

2503664640 is an equidigital number, since it uses as much as digits as its factorization.

2503664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2503664640 is about 50036.6329802476. The cubic root of 2503664640 is about 1357.8716420882.

It can be divided in two parts, 25036 and 64640, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 2503664640 in words is "two billion, five hundred three million, six hundred sixty-four thousand, six hundred forty".