2253346231140 has 192 divisors, whose sum is σ = 7382360160000. Its totient is φ = 569036482560.

The previous prime is 2253346231109. The next prime is 2253346231163. The reversal of 2253346231140 is 411326433522.

2253346231140 is a `hidden beast` number, since 2 + 2 + 5 + 334 + 6 + 2 + 311 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2253346231095 and 2253346231104.

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, 26109660 + ... + 26195820.

It is an arithmetic number, because the mean of its divisors is an integer number (38449792500).

Almost surely, 2^{2253346231140} is an apocalyptic number.

2253346231140 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 2253346231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691180080000).

2253346231140 is an abundant number, since it is smaller than the sum of its proper divisors (5129013928860).

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

2253346231140 is a wasteful number, since it uses less digits than its factorization.

2253346231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88747 (or 88739 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2253346231140 in words is "two trillion, two hundred fifty-three billion, three hundred forty-six million, two hundred thirty-one thousand, one hundred forty".