2506618960 has 20 divisors (see below), whose sum is σ = 5827889268. Its totient is φ = 1002647552.

The previous prime is 2506618957. The next prime is 2506618963. The reversal of 2506618960 is 698166052.

2506618960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2506618957) and next prime (2506618963).

It can be written as a sum of positive squares in 2 ways, for example, as 376981056 + 2129637904 = 19416^2 + 46148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2506618960² = 12566277221262963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506618963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15666289 + ... + 15666448.

Almost surely, 2^2506618960 is an apocalyptic number.

2506618960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506618960 is an abundant number, since it is smaller than the sum of its proper divisors (3321270308).

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

2506618960 is a wasteful number, since it uses less digits than its factorization.

2506618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31332750 (or 31332744 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 2506618960 is about 50066.1458472689. The cubic root of 2506618960 is about 1358.4055275549.

The spelling of 2506618960 in words is "two billion, five hundred six million, six hundred eighteen thousand, nine hundred sixty".