2051178634764 has 288 divisors, whose sum is σ = 6137351700480. Its totient is φ = 565486137216.

The previous prime is 2051178634643. The next prime is 2051178634849. The reversal of 2051178634764 is 4674368711502.

2051178634764 is a `hidden beast` number, since 2 + 0 + 511 + 7 + 8 + 63 + 4 + 7 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2051178634764.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 904797559 + ... + 904799825.

It is an arithmetic number, because the mean of its divisors is an integer number (21310248960).

Almost surely, 2^{2051178634764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051178634764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068675850240).

2051178634764 is an abundant number, since it is smaller than the sum of its proper divisors (4086173065716).

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

2051178634764 is a wasteful number, since it uses less digits than its factorization.

2051178634764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2051178634764 in words is "two trillion, fifty-one billion, one hundred seventy-eight million, six hundred thirty-four thousand, seven hundred sixty-four".