2251760040 has 128 divisors (see below), whose sum is σ = 7572700800. Its totient is φ = 595123200.

The previous prime is 2251760033. The next prime is 2251760111. The reversal of 2251760040 is 400671522.

2251760040 is a `hidden beast` number, since 2 + 2 + 5 + 17 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2251759986 and 2251760013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112815 + ... + 131265.

It is an arithmetic number, because the mean of its divisors is an integer number (59161725).

Almost surely, 2^2251760040 is an apocalyptic number.

2251760040 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 2251760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786350400).

2251760040 is an abundant number, since it is smaller than the sum of its proper divisors (5320940760).

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

2251760040 is a wasteful number, since it uses less digits than its factorization.

2251760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2251760040 is about 47452.7137264035. The cubic root of 2251760040 is about 1310.7122828439.

The spelling of 2251760040 in words is "two billion, two hundred fifty-one million, seven hundred sixty thousand, forty".