2261404872 has 128 divisors (see below), whose sum is σ = 6682953600. Its totient is φ = 706074624.

The previous prime is 2261404829. The next prime is 2261404903. The reversal of 2261404872 is 2784041622.

It is a super-2 number, since 2×2261404872² = 10227903990210672768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832188 + ... + 834900.

It is an arithmetic number, because the mean of its divisors is an integer number (52210575).

Almost surely, 2^2261404872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261404872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341476800).

2261404872 is an abundant number, since it is smaller than the sum of its proper divisors (4421548728).

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

2261404872 is a wasteful number, since it uses less digits than its factorization.

2261404872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2261404872 is about 47554.2308527853. The cubic root of 2261404872 is about 1312.5809830848.

The spelling of 2261404872 in words is "two billion, two hundred sixty-one million, four hundred four thousand, eight hundred seventy-two".