2261415752 has 108 divisors (see below), whose sum is σ = 4820647545. Its totient is φ = 994253568.

The previous prime is 2261415733. The next prime is 2261415799. The reversal of 2261415752 is 2575141622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2069704036 + 191711716 = 45494^2 + 13846^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33626.

It is a super-2 number, since 2×2261415752² = 10228002406787451008, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52591043 + ... + 52591085.

Almost surely, 2^2261415752 is an apocalyptic number.

It is an amenable number.

2261415752 is an abundant number, since it is smaller than the sum of its proper divisors (2559231793).

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

2261415752 is a wasteful number, since it uses less digits than its factorization.

2261415752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 85 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 2261415752 is about 47554.3452483577. The cubic root of 2261415752 is about 1312.5830880975.

The spelling of 2261415752 in words is "two billion, two hundred sixty-one million, four hundred fifteen thousand, seven hundred fifty-two".