2678556364440 has 256 divisors, whose sum is σ = 9229554547200. Its totient is φ = 615038054400.

The previous prime is 2678556364397. The next prime is 2678556364469. The reversal of 2678556364440 is 444636558762.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161030364 + ... + 161046996.

It is an arithmetic number, because the mean of its divisors is an integer number (36052947450).

Almost surely, 2^{2678556364440} is an apocalyptic number.

2678556364440 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 2678556364440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614777273600).

2678556364440 is an abundant number, since it is smaller than the sum of its proper divisors (6550998182760).

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

2678556364440 is a wasteful number, since it uses less digits than its factorization.

2678556364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23098 (or 23094 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 60.

The spelling of 2678556364440 in words is "two trillion, six hundred seventy-eight billion, five hundred fifty-six million, three hundred sixty-four thousand, four hundred forty".