2252069664 has 144 divisors (see below), whose sum is σ = 6457715712. Its totient is φ = 686859264.

The previous prime is 2252069657. The next prime is 2252069681. The reversal of 2252069664 is 4669602522.

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, 2059902 + ... + 2060994.

It is an arithmetic number, because the mean of its divisors is an integer number (44845248).

Almost surely, 2^2252069664 is an apocalyptic number.

2252069664 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 2252069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228857856).

2252069664 is an abundant number, since it is smaller than the sum of its proper divisors (4205646048).

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

2252069664 is a wasteful number, since it uses less digits than its factorization.

2252069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2252069664 is about 47455.9760620304. The cubic root of 2252069664 is about 1310.7723557607.

The spelling of 2252069664 in words is "two billion, two hundred fifty-two million, sixty-nine thousand, six hundred sixty-four".