2252634209280 has 1320 divisors, whose sum is σ = 10113571435968. Its totient is φ = 475225325568.

The previous prime is 2252634209263. The next prime is 2252634209333. The reversal of 2252634209280 is 829024362522.

2252634209280 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 63 + 420 + 92 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264172377 + ... + 264180903.

Almost surely, 2^{2252634209280} is an apocalyptic number.

2252634209280 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 2252634209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056785717984).

2252634209280 is an abundant number, since it is smaller than the sum of its proper divisors (7860937226688).

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

2252634209280 is a wasteful number, since it uses less digits than its factorization.

2252634209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2252634209280 in words is "two trillion, two hundred fifty-two billion, six hundred thirty-four million, two hundred nine thousand, two hundred eighty".