2682351984 has 80 divisors (see below), whose sum is σ = 7719818400. Its totient is φ = 796873728.

The previous prime is 2682351943. The next prime is 2682352003. The reversal of 2682351984 is 4891532862.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56019 + ... + 92210.

It is an arithmetic number, because the mean of its divisors is an integer number (96497730).

Almost surely, 2^2682351984 is an apocalyptic number.

2682351984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2682351984 is an abundant number, since it is smaller than the sum of its proper divisors (5037466416).

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

2682351984 is a wasteful number, since it uses less digits than its factorization.

2682351984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148282 (or 148276 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 2682351984 is about 51791.4277076815. The cubic root of 2682351984 is about 1389.4361331099.

The spelling of 2682351984 in words is "two billion, six hundred eighty-two million, three hundred fifty-one thousand, nine hundred eighty-four".