2512668960 has 144 divisors (see below), whose sum is σ = 8678202624. Its totient is φ = 661940736.

The previous prime is 2512668943. The next prime is 2512668973. The reversal of 2512668960 is 698662152.

2512668960 is a `hidden beast` number, since 251 + 266 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109009 + ... + 130031.

It is an arithmetic number, because the mean of its divisors is an integer number (60265296).

Almost surely, 2^2512668960 is an apocalyptic number.

2512668960 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 2512668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339101312).

2512668960 is an abundant number, since it is smaller than the sum of its proper divisors (6165533664).

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

2512668960 is a wasteful number, since it uses less digits than its factorization.

2512668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21127 (or 21116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2512668960 is about 50126.5295028491. The cubic root of 2512668960 is about 1359.4975364134.

The spelling of 2512668960 in words is "two billion, five hundred twelve million, six hundred sixty-eight thousand, nine hundred sixty".