2261900712960 has 880 divisors, whose sum is σ = 9452924817600. Its totient is φ = 516973363200.

The previous prime is 2261900712949. The next prime is 2261900712971. The reversal of 2261900712960 is 692170091622.

2261900712960 is a `hidden beast` number, since 2 + 2 + 619 + 0 + 0 + 7 + 1 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261900712949) and next prime (2261900712971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 142241010 + ... + 142256910.

It is an arithmetic number, because the mean of its divisors is an integer number (10741960020).

Almost surely, 2^{2261900712960} is an apocalyptic number.

2261900712960 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 2261900712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726462408800).

2261900712960 is an abundant number, since it is smaller than the sum of its proper divisors (7191024104640).

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

2261900712960 is an equidigital number, since it uses as much as digits as its factorization.

2261900712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15959 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2261900712960 in words is "two trillion, two hundred sixty-one billion, nine hundred million, seven hundred twelve thousand, nine hundred sixty".