2270153260564 has 384 divisors, whose sum is σ = 5367212928000. Its totient is φ = 816622829568.

The previous prime is 2270153260489. The next prime is 2270153260577. The reversal of 2270153260564 is 4650623510722.

It is a self number, because there is not a number n which added to its sum of digits gives 2270153260564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2738423302 + ... + 2738424130.

It is an arithmetic number, because the mean of its divisors is an integer number (13977117000).

Almost surely, 2^{2270153260564} 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 2270153260564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683606464000).

2270153260564 is an abundant number, since it is smaller than the sum of its proper divisors (3097059667436).

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

2270153260564 is a wasteful number, since it uses less digits than its factorization.

2270153260564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 2270153260564 in words is "two trillion, two hundred seventy billion, one hundred fifty-three million, two hundred sixty thousand, five hundred sixty-four".