2682616293984 has 96 divisors (see below), whose sum is σ = 7738111253376. Its totient is φ = 806980305920.

The previous prime is 2682616293977. The next prime is 2682616294009. The reversal of 2682616293984 is 4893926162862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9126702 + ... + 9416045.

It is an arithmetic number, because the mean of its divisors is an integer number (80605325556).

Almost surely, 2^{2682616293984} is an apocalyptic number.

2682616293984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2682616293984 is an abundant number, since it is smaller than the sum of its proper divisors (5055494959392).

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

2682616293984 is a wasteful number, since it uses less digits than its factorization.

2682616293984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542908 (or 18542900 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 66.

The spelling of 2682616293984 in words is "two trillion, six hundred eighty-two billion, six hundred sixteen million, two hundred ninety-three thousand, nine hundred eighty-four".