2252160000 has 660 divisors, whose sum is σ = 8978338512. Its totient is φ = 540672000.

The previous prime is 2252159989. The next prime is 2252160007. The reversal of 2252160000 is 612522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252160007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97919989 + ... + 97920011.

Almost surely, 2^2252160000 is an apocalyptic number.

2252160000 is a gapful number since it is divisible by the number (20) 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 2252160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489169256).

2252160000 is an abundant number, since it is smaller than the sum of its proper divisors (6726178512).

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

2252160000 is a wasteful number, since it uses less digits than its factorization.

2252160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252160000 is about 47456.9278398845. The cubic root of 2252160000 is about 1310.7898816171.

Adding to 2252160000 its reverse (612522), we get a palindrome (2252772522).

The spelling of 2252160000 in words is "two billion, two hundred fifty-two million, one hundred sixty thousand".