2500765344 has 288 divisors, whose sum is σ = 9253730304. Its totient is φ = 621181440.

The previous prime is 2500765283. The next prime is 2500765369. The reversal of 2500765344 is 4435670052.

2500765344 is a `hidden beast` number, since 2 + 50 + 0 + 76 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2500765299 and 2500765308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507597 + ... + 512499.

It is an arithmetic number, because the mean of its divisors is an integer number (32131008).

Almost surely, 2^2500765344 is an apocalyptic number.

2500765344 is a gapful number since it is divisible by the number (24) 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 2500765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626865152).

2500765344 is an abundant number, since it is smaller than the sum of its proper divisors (6752964960).

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

2500765344 is a wasteful number, since it uses less digits than its factorization.

2500765344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2500765344 is about 50007.6528543382. The cubic root of 2500765344 is about 1357.3472917158.

The spelling of 2500765344 in words is "two billion, five hundred million, seven hundred sixty-five thousand, three hundred forty-four".