2643401156760 has 192 divisors, whose sum is σ = 10573604758080. Its totient is φ = 557728588800.

The previous prime is 2643401156743. The next prime is 2643401156821. The reversal of 2643401156760 is 676511043462.

2643401156760 is a `hidden beast` number, since 2 + 6 + 43 + 40 + 1 + 1 + 567 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40312191 + ... + 40377710.

It is an arithmetic number, because the mean of its divisors is an integer number (55070858115).

Almost surely, 2^{2643401156760} is an apocalyptic number.

2643401156760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2643401156760 is an abundant number, since it is smaller than the sum of its proper divisors (7930203601320).

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

2643401156760 is a wasteful number, since it uses less digits than its factorization.

2643401156760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80689938 (or 80689931 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 2643401 and 156760, that added together give a triangular number (2800161 = T₂₃₆₆).

The spelling of 2643401156760 in words is "two trillion, six hundred forty-three billion, four hundred one million, one hundred fifty-six thousand, seven hundred sixty".