2262992764032 has 1152 divisors, whose sum is σ = 9118660561920. Its totient is φ = 542478643200.

The previous prime is 2262992764031. The next prime is 2262992764117. The reversal of 2262992764032 is 2304672992622.

2262992764032 is a `hidden beast` number, since 2 + 2 + 629 + 9 + 2 + 7 + 6 + 4 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2262992764032² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2262992764032.

It is not an unprimeable number, because it can be changed into a prime (2262992764031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404753557 + ... + 404759147.

It is an arithmetic number, because the mean of its divisors is an integer number (7915503960).

Almost surely, 2^{2262992764032} is an apocalyptic number.

2262992764032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262992764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559330280960).

2262992764032 is an abundant number, since it is smaller than the sum of its proper divisors (6855667797888).

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

2262992764032 is a wasteful number, since it uses less digits than its factorization.

2262992764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2262992764032 in words is "two trillion, two hundred sixty-two billion, nine hundred ninety-two million, seven hundred sixty-four thousand, thirty-two".