2738940934464 has 224 divisors, whose sum is σ = 9204150451200. Its totient is φ = 782393955840.

The previous prime is 2738940934447. The next prime is 2738940934487. The reversal of 2738940934464 is 4644390498372.

It is a happy number.

2738940934464 is a `hidden beast` number, since 2 + 7 + 3 + 89 + 4 + 0 + 93 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66882507 + ... + 66923445.

Almost surely, 2^{2738940934464} is an apocalyptic number.

2738940934464 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 2738940934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602075225600).

2738940934464 is an abundant number, since it is smaller than the sum of its proper divisors (6465209516736).

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

2738940934464 is a wasteful number, since it uses less digits than its factorization.

2738940934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46498 (or 46482 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 2738940934464 in words is "two trillion, seven hundred thirty-eight billion, nine hundred forty million, nine hundred thirty-four thousand, four hundred sixty-four".