2272041757440 has 1440 divisors, whose sum is σ = 10057198964736. Its totient is φ = 478892113920.

The previous prime is 2272041757373. The next prime is 2272041757459. The reversal of 2272041757440 is 447571402722.

2272041757440 is a `hidden beast` number, since 2 + 2 + 7 + 20 + 4 + 17 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 2292675345 + ... + 2292676335.

Almost surely, 2^{2272041757440} is an apocalyptic number.

2272041757440 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 2272041757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028599482368).

2272041757440 is an abundant number, since it is smaller than the sum of its proper divisors (7785157207296).

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

2272041757440 is an frugal number, since it uses more digits than its factorization.

2272041757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 2272041757440 in words is "two trillion, two hundred seventy-two billion, forty-one million, seven hundred fifty-seven thousand, four hundred forty".