2272139735040 has 832 divisors, whose sum is σ = 9346955857920. Its totient is φ = 519274561536.

The previous prime is 2272139735023. The next prime is 2272139735057. The reversal of 2272139735040 is 405379312722.

2272139735040 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 139 + 7 + 3 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2272139735023) and next prime (2272139735057).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313524697 + ... + 313531943.

Almost surely, 2^{2272139735040} is an apocalyptic number.

2272139735040 is a gapful number since it is divisible by the number (20) 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 2272139735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673477928960).

2272139735040 is an abundant number, since it is smaller than the sum of its proper divisors (7074816122880).

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

2272139735040 is an frugal number, since it uses more digits than its factorization.

2272139735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2272139735040 in words is "two trillion, two hundred seventy-two billion, one hundred thirty-nine million, seven hundred thirty-five thousand, forty".