2505701952 has 140 divisors (see below), whose sum is σ = 7999261116. Its totient is φ = 770964480.

The previous prime is 2505701899. The next prime is 2505701981. The reversal of 2505701952 is 2591075052.

2505701952 is a `hidden beast` number, since 25 + 0 + 570 + 19 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 557715456 + 1947986496 = 23616^2 + 44136^2 .

It is a super-2 number, since 2×2505701952² = 12557084544513220608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48802 + ... + 85982.

Almost surely, 2^2505701952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999630558).

2505701952 is an abundant number, since it is smaller than the sum of its proper divisors (5493559164).

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

2505701952 is a wasteful number, since it uses less digits than its factorization.

2505701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37218 (or 37199 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2505701952 is about 50056.9870447673. The cubic root of 2505701952 is about 1358.2398567596.

The spelling of 2505701952 in words is "two billion, five hundred five million, seven hundred one thousand, nine hundred fifty-two".