2646126560 has 96 divisors (see below), whose sum is σ = 7794081792. Its totient is φ = 824762880.

The previous prime is 2646126559. The next prime is 2646126583. The reversal of 2646126560 is 656216462.

It is a congruent number.

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, 95072 + ... + 119711.

It is an arithmetic number, because the mean of its divisors is an integer number (81188352).

Almost surely, 2^2646126560 is an apocalyptic number.

2646126560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2646126560 is an abundant number, since it is smaller than the sum of its proper divisors (5147955232).

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

2646126560 is a wasteful number, since it uses less digits than its factorization.

2646126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214816 (or 214808 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 2646126560 is about 51440.5147719188. The cubic root of 2646126560 is about 1383.1529392999.

It can be divided in two parts, 264612 and 6560, that added together give a palindrome (271172).

The spelling of 2646126560 in words is "two billion, six hundred forty-six million, one hundred twenty-six thousand, five hundred sixty".