2270464599312 has 1600 divisors, whose sum is σ = 9114346644480. Its totient is φ = 528336027648.

The previous prime is 2270464599307. The next prime is 2270464599323. The reversal of 2270464599312 is 2139954640722.

It is a happy number.

2270464599312 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 46 + 4 + 599 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2443987264 + ... + 2443988192.

Almost surely, 2^{2270464599312} 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 2270464599312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557173322240).

2270464599312 is an abundant number, since it is smaller than the sum of its proper divisors (6843882045168).

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

2270464599312 is a wasteful number, since it uses less digits than its factorization.

2270464599312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2270464599312 in words is "two trillion, two hundred seventy billion, four hundred sixty-four million, five hundred ninety-nine thousand, three hundred twelve".