2270133153792 has 832 divisors, whose sum is σ = 7979989355520. Its totient is φ = 632073093120.

The previous prime is 2270133153773. The next prime is 2270133153823. The reversal of 2270133153792 is 2973513310722.

2270133153792 is a `hidden beast` number, since 2 + 2 + 70 + 13 + 31 + 537 + 9 + 2 = 666.

It is a super-2 number, since 2×2270133153792² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 2570931783 + ... + 2570932665.

It is an arithmetic number, because the mean of its divisors is an integer number (9591333360).

Almost surely, 2^{2270133153792} 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 2270133153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989994677760).

2270133153792 is an abundant number, since it is smaller than the sum of its proper divisors (5709856201728).

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

2270133153792 is an frugal number, since it uses more digits than its factorization.

2270133153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 2270133153792 in words is "two trillion, two hundred seventy billion, one hundred thirty-three million, one hundred fifty-three thousand, seven hundred ninety-two".