2252251440 has 80 divisors (see below), whose sum is σ = 7757762400. Its totient is φ = 600599808.

The previous prime is 2252251423. The next prime is 2252251459. The reversal of 2252251440 is 441522522.

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

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

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 15 ways as a sum of consecutive naturals, for example, 519195 + ... + 523514.

It is an arithmetic number, because the mean of its divisors is an integer number (96972030).

Almost surely, 2^2252251440 is an apocalyptic number.

2252251440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252251440 is an abundant number, since it is smaller than the sum of its proper divisors (5505510960).

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

2252251440 is a wasteful number, since it uses less digits than its factorization.

2252251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042731 (or 1042719 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2252251440 is about 47457.8912300157. The cubic root of 2252251440 is about 1310.8076211804.

Adding to 2252251440 its reverse (441522522), we get a palindrome (2693773962).

The spelling of 2252251440 in words is "two billion, two hundred fifty-two million, two hundred fifty-one thousand, four hundred forty".