2640147520140 has 576 divisors, whose sum is σ = 9072156038400. Its totient is φ = 616954060800.

The previous prime is 2640147520139. The next prime is 2640147520183. The reversal of 2640147520140 is 410257410462.

2640147520140 is a `hidden beast` number, since 2 + 6 + 40 + 1 + 475 + 2 + 0 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2640147520095 and 2640147520104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3184737246 + ... + 3184738074.

It is an arithmetic number, because the mean of its divisors is an integer number (15750270900).

Almost surely, 2^{2640147520140} is an apocalyptic number.

2640147520140 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 2640147520140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536078019200).

2640147520140 is an abundant number, since it is smaller than the sum of its proper divisors (6432008518260).

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

2640147520140 is a wasteful number, since it uses less digits than its factorization.

2640147520140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2640147520140 in words is "two trillion, six hundred forty billion, one hundred forty-seven million, five hundred twenty thousand, one hundred forty".