2262611156832 has 1344 divisors, whose sum is σ = 7996017254400. Its totient is φ = 623607828480.

The previous prime is 2262611156821. The next prime is 2262611156833. The reversal of 2262611156832 is 2386511162622.

2262611156832 is a `hidden beast` number, since 2 + 2 + 626 + 1 + 1 + 15 + 6 + 8 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (414720) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262611156833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9466992169 + ... + 9466992407.

It is an arithmetic number, because the mean of its divisors is an integer number (5949417600).

Almost surely, 2^{2262611156832} 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 2262611156832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998008627200).

2262611156832 is an abundant number, since it is smaller than the sum of its proper divisors (5733406097568).

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

2262611156832 is a wasteful number, since it uses less digits than its factorization.

2262611156832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 2262611156832 in words is "two trillion, two hundred sixty-two billion, six hundred eleven million, one hundred fifty-six thousand, eight hundred thirty-two".