2261027626600 has 48 divisors (see below), whose sum is σ = 5257035090720. Its totient is φ = 904385956800.

The previous prime is 2261027626579. The next prime is 2261027626621. The reversal of 2261027626600 is 66267201622.

It is an interprime number because it is at equal distance from previous prime (2261027626579) and next prime (2261027626621).

It is a super-2 number, since 2×2261027626600² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 8172535 + ... + 8444665.

It is an arithmetic number, because the mean of its divisors is an integer number (109521564390).

Almost surely, 2^{2261027626600} is an apocalyptic number.

2261027626600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261027626600 is an abundant number, since it is smaller than the sum of its proper divisors (2996007464120).

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

2261027626600 is a wasteful number, since it uses less digits than its factorization.

2261027626600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313690 (or 313681 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 2261027626600 in words is "two trillion, two hundred sixty-one billion, twenty-seven million, six hundred twenty-six thousand, six hundred".