2640427300800 has 252 divisors, whose sum is σ = 9389000907000. Its totient is φ = 703791421440.

The previous prime is 2640427300787. The next prime is 2640427300811. The reversal of 2640427300800 is 80037240462.

2640427300800 is a `hidden beast` number, since 2 + 640 + 4 + 2 + 7 + 3 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32258326 + ... + 32340074.

Almost surely, 2^{2640427300800} is an apocalyptic number.

2640427300800 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 2640427300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694500453500).

2640427300800 is an abundant number, since it is smaller than the sum of its proper divisors (6748573606200).

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

2640427300800 is a wasteful number, since it uses less digits than its factorization.

2640427300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84020 (or 84002 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2640427300800 in words is "two trillion, six hundred forty billion, four hundred twenty-seven million, three hundred thousand, eight hundred".