2251977040 has 20 divisors (see below), whose sum is σ = 5235846804. Its totient is φ = 900790784.

The previous prime is 2251977031. The next prime is 2251977053. The reversal of 2251977040 is 407791522.

It can be written as a sum of positive squares in 2 ways, for example, as 355548736 + 1896428304 = 18856^2 + 43548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14074777 + ... + 14074936.

Almost surely, 2^2251977040 is an apocalyptic number.

2251977040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251977040 is an abundant number, since it is smaller than the sum of its proper divisors (2983869764).

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

2251977040 is a wasteful number, since it uses less digits than its factorization.

2251977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28149726 (or 28149720 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 2251977040 is about 47455.0001580445. Note that the first 3 decimals coincide. The cubic root of 2251977040 is about 1310.7543855287.

The spelling of 2251977040 in words is "two billion, two hundred fifty-one million, nine hundred seventy-seven thousand, forty".