2262064534600 has 96 divisors (see below), whose sum is σ = 5671593322920. Its totient is φ = 834083665920.

The previous prime is 2262064534571. The next prime is 2262064534633. The reversal of 2262064534600 is 64354602622.

It can be written as a sum of positive squares in 12 ways, for example, as 865134375876 + 1396930158724 = 930126^2 + 1181918^2 .

It is a super-2 number, since 2×2262064534600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312332 + ... + 2499268.

Almost surely, 2^{2262064534600} is an apocalyptic number.

2262064534600 is a gapful number since it is divisible by the number (20) 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 2262064534600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835796661460).

2262064534600 is an abundant number, since it is smaller than the sum of its proper divisors (3409528788320).

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

2262064534600 is a wasteful number, since it uses less digits than its factorization.

2262064534600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187699 (or 1187690 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 2262064534600 in words is "two trillion, two hundred sixty-two billion, sixty-four million, five hundred thirty-four thousand, six hundred".