2740638172032 has 48 divisors (see below), whose sum is σ = 7886471826480. Its totient is φ = 913546056960.

The previous prime is 2740638172021. The next prime is 2740638172067. The reversal of 2740638172032 is 2302718360472.

2740638172032 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 638 + 1 + 7 + 2 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2740638172032³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1189511944 + ... + 1189514247.

It is an arithmetic number, because the mean of its divisors is an integer number (164301496385).

Almost surely, 2^{2740638172032} is an apocalyptic number.

It is an amenable number.

2740638172032 is an abundant number, since it is smaller than the sum of its proper divisors (5145833654448).

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

2740638172032 is a wasteful number, since it uses less digits than its factorization.

2740638172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379026211 (or 2379026196 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2740638172032 in words is "two trillion, seven hundred forty billion, six hundred thirty-eight million, one hundred seventy-two thousand, thirty-two".