2261553360 has 80 divisors (see below), whose sum is σ = 7648171200. Its totient is φ = 548254720.

The previous prime is 2261553341. The next prime is 2261553403. The reversal of 2261553360 is 633551622.

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

It is a super-2 number, since 2×2261553360² = 10229247200254579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 425685 + ... + 430964.

It is an arithmetic number, because the mean of its divisors is an integer number (95602140).

Almost surely, 2^2261553360 is an apocalyptic number.

2261553360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261553360 is an abundant number, since it is smaller than the sum of its proper divisors (5386617840).

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

2261553360 is a wasteful number, since it uses less digits than its factorization.

2261553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856676 (or 856670 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2261553360 is about 47555.7920762550. The cubic root of 2261553360 is about 1312.6097112825.

The spelling of 2261553360 in words is "two billion, two hundred sixty-one million, five hundred fifty-three thousand, three hundred sixty".