2507507968 has 216 divisors, whose sum is σ = 6176089080. Its totient is φ = 1011548160.

The previous prime is 2507507941. The next prime is 2507508061. The reversal of 2507507968 is 8697057052.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 2384564224 = 11088^2 + 48832^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22190280 + ... + 22190392.

It is an arithmetic number, because the mean of its divisors is an integer number (28593005).

Almost surely, 2^2507507968 is an apocalyptic number.

2507507968 is a gapful number since it is divisible by the number (28) 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 2507507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088044540).

2507507968 is an abundant number, since it is smaller than the sum of its proper divisors (3668581112).

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

2507507968 is a wasteful number, since it uses less digits than its factorization.

2507507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 2507507968 is about 50075.0233949022. The cubic root of 2507507968 is about 1358.5661011749.

The spelling of 2507507968 in words is "two billion, five hundred seven million, five hundred seven thousand, nine hundred sixty-eight".