2252662464 has 112 divisors (see below), whose sum is σ = 6640189920. Its totient is φ = 669204480.

The previous prime is 2252662463. The next prime is 2252662487. The reversal of 2252662464 is 4642662522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2252662463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56824 + ... + 87944.

It is an arithmetic number, because the mean of its divisors is an integer number (59287410).

Almost surely, 2^2252662464 is an apocalyptic number.

2252662464 is a gapful number since it is divisible by the number (24) 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 2252662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320094960).

2252662464 is an abundant number, since it is smaller than the sum of its proper divisors (4387527456).

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

2252662464 is a wasteful number, since it uses less digits than its factorization.

2252662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31178 (or 31168 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2252662464 is about 47462.2214397936. The cubic root of 2252662464 is about 1310.8873548210.

The spelling of 2252662464 in words is "two billion, two hundred fifty-two million, six hundred sixty-two thousand, four hundred sixty-four".