2642854515840 has 3072 divisors, whose sum is σ = 12472156569600. Its totient is φ = 499580928000.

The previous prime is 2642854515839. The next prime is 2642854515857. The reversal of 2642854515840 is 485154582462.

2642854515840 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 8 + 5 + 4 + 51 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 29694994516 + ... + 29694994604.

It is an arithmetic number, because the mean of its divisors is an integer number (4059946800).

Almost surely, 2^{2642854515840} is an apocalyptic number.

2642854515840 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 2642854515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236078284800).

2642854515840 is an abundant number, since it is smaller than the sum of its proper divisors (9829302053760).

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

2642854515840 is a wasteful number, since it uses less digits than its factorization.

2642854515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 2642854515840 in words is "two trillion, six hundred forty-two billion, eight hundred fifty-four million, five hundred fifteen thousand, eight hundred forty".