2504769120 has 576 divisors, whose sum is σ = 10597257216. Its totient is φ = 525680640.

The previous prime is 2504769109. The next prime is 2504769133. The reversal of 2504769120 is 219674052.

2504769120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 8053765 + ... + 8054075.

It is an arithmetic number, because the mean of its divisors is an integer number (18398016).

Almost surely, 2^2504769120 is an apocalyptic number.

2504769120 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 2504769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298628608).

2504769120 is an abundant number, since it is smaller than the sum of its proper divisors (8092488096).

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

2504769120 is a wasteful number, since it uses less digits than its factorization.

2504769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2504769120 is about 50047.6684771628. The cubic root of 2504769120 is about 1358.0712856516.

The spelling of 2504769120 in words is "two billion, five hundred four million, seven hundred sixty-nine thousand, one hundred twenty".