1052224640 has 64 divisors (see below), whose sum is σ = 2521947960. Its totient is φ = 419807232.

The previous prime is 1052224609. The next prime is 1052224643. The reversal of 1052224640 is 464222501.

It can be written as a sum of positive squares in 4 ways, for example, as 287370304 + 764854336 = 16952^2 + 27656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1052224640² = 2214353386046259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052224643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275222 + ... + 279018.

Almost surely, 2^1052224640 is an apocalyptic number.

1052224640 is a gapful number since it is divisible by the number (10) 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 1052224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260973980).

1052224640 is an abundant number, since it is smaller than the sum of its proper divisors (1469723320).

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

1052224640 is an equidigital number, since it uses as much as digits as its factorization.

1052224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1052224640 is about 32438.0122695581. The cubic root of 1052224640 is about 1017.1136650654.

The spelling of 1052224640 in words is "one billion, fifty-two million, two hundred twenty-four thousand, six hundred forty".