2261031600 has 60 divisors (see below), whose sum is σ = 7242841736. Its totient is φ = 602941440.

The previous prime is 2261031599. The next prime is 2261031601. The reversal of 2261031600 is 61301622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2261031599) and next prime (2261031601).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2261031600² = 10224527792397120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261031601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 940897 + ... + 943296.

Almost surely, 2^2261031600 is an apocalyptic number.

2261031600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261031600 is an abundant number, since it is smaller than the sum of its proper divisors (4981810136).

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

2261031600 is a wasteful number, since it uses less digits than its factorization.

2261031600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884214 (or 1884203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2261031600 is about 47550.3059927063. The cubic root of 2261031600 is about 1312.5087600322.

The spelling of 2261031600 in words is "two billion, two hundred sixty-one million, thirty-one thousand, six hundred".