2254112934264 has 320 divisors, whose sum is σ = 6891070032000. Its totient is φ = 685679904000.

The previous prime is 2254112934259. The next prime is 2254112934317. The reversal of 2254112934264 is 4624392114522.

2254112934264 is a `hidden beast` number, since 2 + 2 + 541 + 1 + 2 + 9 + 3 + 42 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 158165139 + ... + 158179389.

It is an arithmetic number, because the mean of its divisors is an integer number (21534593850).

Almost surely, 2^{2254112934264} is an apocalyptic number.

2254112934264 is a gapful number since it is divisible by the number (24) 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 2254112934264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445535016000).

2254112934264 is an abundant number, since it is smaller than the sum of its proper divisors (4636957097736).

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

2254112934264 is a wasteful number, since it uses less digits than its factorization.

2254112934264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14747 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 2254112934264 in words is "two trillion, two hundred fifty-four billion, one hundred twelve million, nine hundred thirty-four thousand, two hundred sixty-four".