240054634772010 has 48 divisors (see below), whose sum is σ = 624210949982880. Its totient is φ = 64007502649440.

The previous prime is 240054634771937. The next prime is 240054634772047. The reversal of 240054634772010 is 10277436450042.

240054634772010 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 5 + 4 + 634 + 7 + 7 + 2 + 0 + 1 + 0 = 666.

240054634772010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×240054634772010⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146401476 + ... + 148032095.

It is an arithmetic number, because the mean of its divisors is an integer number (13004394791310).

Almost surely, 2^{240054634772010} is an apocalyptic number.

240054634772010 is an abundant number, since it is smaller than the sum of its proper divisors (384156315210870).

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

240054634772010 is a wasteful number, since it uses less digits than its factorization.

240054634772010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294442643 (or 294442640 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 240054634772010 in words is "two hundred forty trillion, fifty-four billion, six hundred thirty-four million, seven hundred seventy-two thousand, ten".