2253486960 has 160 divisors (see below), whose sum is σ = 7785602880. Its totient is φ = 599104512.

The previous prime is 2253486953. The next prime is 2253486971. The reversal of 2253486960 is 696843522.

2253486960 is a `hidden beast` number, since 22 + 534 + 8 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804282 + ... + 807078.

It is an arithmetic number, because the mean of its divisors is an integer number (48660018).

Almost surely, 2^2253486960 is an apocalyptic number.

2253486960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892801440).

2253486960 is an abundant number, since it is smaller than the sum of its proper divisors (5532115920).

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

2253486960 is a wasteful number, since it uses less digits than its factorization.

2253486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2253486960 is about 47470.9064585879. The cubic root of 2253486960 is about 1311.0472677479.

The spelling of 2253486960 in words is "two billion, two hundred fifty-three million, four hundred eighty-six thousand, nine hundred sixty".