2504627370540 has 144 divisors (see below), whose sum is σ = 7794235114848. Its totient is φ = 650814262272.

The previous prime is 2504627370529. The next prime is 2504627370571. The reversal of 2504627370540 is 450737264052.

2504627370540 is a `hidden beast` number, since 2 + 5 + 0 + 462 + 73 + 70 + 54 + 0 = 666.

2504627370540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2504627370540² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57639 + ... + 2238878.

It is an arithmetic number, because the mean of its divisors is an integer number (54126632742).

Almost surely, 2^{2504627370540} is an apocalyptic number.

2504627370540 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 2504627370540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897117557424).

2504627370540 is an abundant number, since it is smaller than the sum of its proper divisors (5289607744308).

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

2504627370540 is a wasteful number, since it uses less digits than its factorization.

2504627370540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296688 (or 2296683 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 2504627370540 in words is "two trillion, five hundred four billion, six hundred twenty-seven million, three hundred seventy thousand, five hundred forty".