2270141607552 has 1024 divisors, whose sum is σ = 8071960780800. Its totient is φ = 548766941184.

The previous prime is 2270141607533. The next prime is 2270141607553. The reversal of 2270141607552 is 2557061410722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2270141607553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4032222823 + ... + 4032223385.

It is an arithmetic number, because the mean of its divisors is an integer number (7882774200).

Almost surely, 2^{2270141607552} 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 2270141607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035980390400).

2270141607552 is an abundant number, since it is smaller than the sum of its proper divisors (5801819173248).

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

2270141607552 is a wasteful number, since it uses less digits than its factorization.

2270141607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 2270141607552 in words is "two trillion, two hundred seventy billion, one hundred forty-one million, six hundred seven thousand, five hundred fifty-two".