2272757311440 has 800 divisors, whose sum is σ = 10269338720256. Its totient is φ = 451725880320.

The previous prime is 2272757311423. The next prime is 2272757311579. The reversal of 2272757311440 is 441137572722.

2272757311440 is a `hidden beast` number, since 2 + 2 + 7 + 27 + 573 + 1 + 14 + 40 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11377059 + ... + 11575101.

Almost surely, 2^{2272757311440} is an apocalyptic number.

2272757311440 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 2272757311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134669360128).

2272757311440 is an abundant number, since it is smaller than the sum of its proper divisors (7996581408816).

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

2272757311440 is a wasteful number, since it uses less digits than its factorization.

2272757311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198109 (or 198094 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 2272757311440 in words is "two trillion, two hundred seventy-two billion, seven hundred fifty-seven million, three hundred eleven thousand, four hundred forty".