2240921272320 has 1088 divisors, whose sum is σ = 8357506387200. Its totient is φ = 576366575616.

The previous prime is 2240921272319. The next prime is 2240921272339. The reversal of 2240921272320 is 232721290422.

2240921272320 is a `hidden beast` number, since 2 + 2 + 40 + 9 + 21 + 272 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37981716451 + ... + 37981716509.

Almost surely, 2^{2240921272320} is an apocalyptic number.

2240921272320 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 2240921272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178753193600).

2240921272320 is an abundant number, since it is smaller than the sum of its proper divisors (6116585114880).

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

2240921272320 is an frugal number, since it uses more digits than its factorization.

2240921272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2240921272320 in words is "two trillion, two hundred forty billion, nine hundred twenty-one million, two hundred seventy-two thousand, three hundred twenty".