2220631370496 has 1728 divisors, whose sum is σ = 8604369027072. Its totient is φ = 538610688000.

The previous prime is 2220631370471. The next prime is 2220631370509. The reversal of 2220631370496 is 6940731360222.

2220631370496 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 631 + 3 + 7 + 0 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31276498141 + ... + 31276498211.

It is an arithmetic number, because the mean of its divisors is an integer number (4979380224).

Almost surely, 2^{2220631370496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220631370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302184513536).

2220631370496 is an abundant number, since it is smaller than the sum of its proper divisors (6383737656576).

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

2220631370496 is a wasteful number, since it uses less digits than its factorization.

2220631370496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2220631370496 in words is "two trillion, two hundred twenty billion, six hundred thirty-one million, three hundred seventy thousand, four hundred ninety-six".