2641276850400 has 216 divisors, whose sum is σ = 9444984638544. Its totient is φ = 694420070400.

The previous prime is 2641276850383. The next prime is 2641276850437. The reversal of 2641276850400 is 40586721462.

2641276850400 is a `hidden beast` number, since 2 + 64 + 1 + 27 + 68 + 504 + 0 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2072209 + ... + 3094608.

It is an arithmetic number, because the mean of its divisors is an integer number (43726780734).

Almost surely, 2^{2641276850400} is an apocalyptic number.

2641276850400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641276850400 is an abundant number, since it is smaller than the sum of its proper divisors (6803707788144).

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

2641276850400 is a wasteful number, since it uses less digits than its factorization.

2641276850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166914 (or 5166898 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2641276850400 in words is "two trillion, six hundred forty-one billion, two hundred seventy-six million, eight hundred fifty thousand, four hundred".