2251263840 has 144 divisors (see below), whose sum is σ = 8249360112. Its totient is φ = 514569216.

The previous prime is 2251263827. The next prime is 2251263899. The reversal of 2251263840 is 483621522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24339 + ... + 71378.

It is an arithmetic number, because the mean of its divisors is an integer number (57287223).

Almost surely, 2^2251263840 is an apocalyptic number.

2251263840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251263840 is an abundant number, since it is smaller than the sum of its proper divisors (5998096272).

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

2251263840 is a wasteful number, since it uses less digits than its factorization.

2251263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95749 (or 95734 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2251263840 is about 47447.4850756075. The cubic root of 2251263840 is about 1310.6159991664.

The spelling of 2251263840 in words is "two billion, two hundred fifty-one million, two hundred sixty-three thousand, eight hundred forty".