2642118073824 has 48 divisors (see below), whose sum is σ = 7096852046592. Its totient is φ = 860224487808.

The previous prime is 2642118073801. The next prime is 2642118073831. The reversal of 2642118073824 is 4283708112462.

It is a tau number, because it is divible by the number of its divisors (48).

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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320019864 + ... + 320028119.

It is an arithmetic number, because the mean of its divisors is an integer number (147851084304).

Almost surely, 2^{2642118073824} is an apocalyptic number.

2642118073824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2642118073824 is an abundant number, since it is smaller than the sum of its proper divisors (4454733972768).

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

2642118073824 is a wasteful number, since it uses less digits than its factorization.

2642118073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640048039 (or 640048031 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2642118073824 in words is "two trillion, six hundred forty-two billion, one hundred eighteen million, seventy-three thousand, eight hundred twenty-four".