2512954560 has 112 divisors (see below), whose sum is σ = 8029931616. Its totient is φ = 665812992.

The previous prime is 2512954541. The next prime is 2512954571. The reversal of 2512954560 is 654592152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142384 + ... + 159056.

It is an arithmetic number, because the mean of its divisors is an integer number (71695818).

Almost surely, 2^2512954560 is an apocalyptic number.

2512954560 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 2512954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014965808).

2512954560 is an abundant number, since it is smaller than the sum of its proper divisors (5516977056).

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

2512954560 is a wasteful number, since it uses less digits than its factorization.

2512954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16850 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 2512954560 is about 50129.3782127806. The cubic root of 2512954560 is about 1359.5490431038.

The spelling of 2512954560 in words is "two billion, five hundred twelve million, nine hundred fifty-four thousand, five hundred sixty".