2640650542200 has 432 divisors, whose sum is σ = 9777390222600. Its totient is φ = 638206272000.

The previous prime is 2640650542141. The next prime is 2640650542207. The reversal of 2640650542200 is 22450560462.

2640650542200 is a `hidden beast` number, since 2 + 6 + 40 + 6 + 50 + 542 + 20 + 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 not an unprimeable number, because it can be changed into a prime (2640650542207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72073486 + ... + 72110114.

Almost surely, 2^{2640650542200} is an apocalyptic number.

2640650542200 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 2640650542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888695111300).

2640650542200 is an abundant number, since it is smaller than the sum of its proper divisors (7136739680400).

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

2640650542200 is a wasteful number, since it uses less digits than its factorization.

2640650542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37004 (or 36981 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2640650542200 in words is "two trillion, six hundred forty billion, six hundred fifty million, five hundred forty-two thousand, two hundred".