2252356680 has 256 divisors, whose sum is σ = 7938777600. Its totient is φ = 500613120.

The previous prime is 2252356669. The next prime is 2252356699. The reversal of 2252356680 is 866532522.

It is a Cunningham number, because it is equal to 47459²-1.

It is a super-2 number, since 2×2252356680² = 10146221227881244800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5789926 + ... + 5790314.

It is an arithmetic number, because the mean of its divisors is an integer number (31010850).

Almost surely, 2^2252356680 is an apocalyptic number.

2252356680 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 2252356680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969388800).

2252356680 is an abundant number, since it is smaller than the sum of its proper divisors (5686420920).

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

2252356680 is a wasteful number, since it uses less digits than its factorization.

2252356680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2252356680 is about 47458.9999894646. Note that the first 4 decimals coincide. The cubic root of 2252356680 is about 1310.8280373801.

The spelling of 2252356680 in words is "two billion, two hundred fifty-two million, three hundred fifty-six thousand, six hundred eighty".