2261350080000 has 1200 divisors, whose sum is σ = 9119031313392. Its totient is φ = 534528000000.

The previous prime is 2261350079987. The next prime is 2261350080013. The reversal of 2261350080000 is 800531622.

2261350080000 is a `hidden beast` number, since 22 + 61 + 3 + 500 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261350079987) and next prime (2261350080013).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2261350080000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1298879130 + ... + 1298880870.

Almost surely, 2^{2261350080000} is an apocalyptic number.

2261350080000 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 2261350080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559515656696).

2261350080000 is an abundant number, since it is smaller than the sum of its proper divisors (6857681233392).

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

2261350080000 is a wasteful number, since it uses less digits than its factorization.

2261350080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 2261350080000 in words is "two trillion, two hundred sixty-one billion, three hundred fifty million, eighty thousand".