2640686083200 has 1152 divisors, whose sum is σ = 11096844220800. Its totient is φ = 591170764800.

The previous prime is 2640686083187. The next prime is 2640686083237. The reversal of 2640686083200 is 23806860462.

2640686083200 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 6 + 8 + 608 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 211299352 + ... + 211311848.

It is an arithmetic number, because the mean of its divisors is an integer number (9632677275).

Almost surely, 2^{2640686083200} is an apocalyptic number.

2640686083200 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 2640686083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548422110400).

2640686083200 is an abundant number, since it is smaller than the sum of its proper divisors (8456158137600).

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

2640686083200 is a wasteful number, since it uses less digits than its factorization.

2640686083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2640686083200 in words is "two trillion, six hundred forty billion, six hundred eighty-six million, eighty-three thousand, two hundred".