2546645760 has 432 divisors, whose sum is σ = 9280855584. Its totient is φ = 644087808.

The previous prime is 2546645729. The next prime is 2546645771. The reversal of 2546645760 is 675466452.

2546645760 is a `hidden beast` number, since 2 + 546 + 6 + 45 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26254032 + ... + 26254128.

It is an arithmetic number, because the mean of its divisors is an integer number (21483462).

Almost surely, 2^2546645760 is an apocalyptic number.

2546645760 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 2546645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640427792).

2546645760 is an abundant number, since it is smaller than the sum of its proper divisors (6734209824).

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

2546645760 is a wasteful number, since it uses less digits than its factorization.

2546645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2546645760 is about 50464.3018380320. The cubic root of 2546645760 is about 1365.5979186261.

The spelling of 2546645760 in words is "two billion, five hundred forty-six million, six hundred forty-five thousand, seven hundred sixty".