2682602556240 has 160 divisors (see below), whose sum is σ = 8525548080000. Its totient is φ = 697368125440.

The previous prime is 2682602556211. The next prime is 2682602556253. The reversal of 2682602556240 is 426552062862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2682602556240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12578011 + ... + 12789509.

It is an arithmetic number, because the mean of its divisors is an integer number (53284675500).

Almost surely, 2^{2682602556240} is an apocalyptic number.

2682602556240 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 2682602556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262774040000).

2682602556240 is an abundant number, since it is smaller than the sum of its proper divisors (5842945523760).

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

2682602556240 is a wasteful number, since it uses less digits than its factorization.

2682602556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212845 (or 212839 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 2682602556240 in words is "two trillion, six hundred eighty-two billion, six hundred two million, five hundred fifty-six thousand, two hundred forty".