2261633520 has 80 divisors (see below), whose sum is σ = 7237251072. Its totient is φ = 583645440.

The previous prime is 2261633519. The next prime is 2261633531. The reversal of 2261633520 is 253361622.

2261633520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2261633520² = 10229972357575180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144552 + ... + 159431.

Almost surely, 2^2261633520 is an apocalyptic number.

2261633520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261633520 is an abundant number, since it is smaller than the sum of its proper divisors (4975617552).

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

2261633520 is a wasteful number, since it uses less digits than its factorization.

2261633520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304030 (or 304024 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2261633520 is about 47556.6348683336. The cubic root of 2261633520 is about 1312.6252194362.

The spelling of 2261633520 in words is "two billion, two hundred sixty-one million, six hundred thirty-three thousand, five hundred twenty".