2253510631260 has 288 divisors, whose sum is σ = 7848106785792. Its totient is φ = 512724326400.

The previous prime is 2253510631241. The next prime is 2253510631271. The reversal of 2253510631260 is 621360153522.

2253510631260 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 5 + 10 + 631 + 2 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254141347 + ... + 254150213.

It is an arithmetic number, because the mean of its divisors is an integer number (27250370784).

Almost surely, 2^{2253510631260} is an apocalyptic number.

2253510631260 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 2253510631260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924053392896).

2253510631260 is an abundant number, since it is smaller than the sum of its proper divisors (5594596154532).

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

2253510631260 is a wasteful number, since it uses less digits than its factorization.

2253510631260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 2253510631260 its reverse (621360153522), we get a palindrome (2874870784782).

The spelling of 2253510631260 in words is "two trillion, two hundred fifty-three billion, five hundred ten million, six hundred thirty-one thousand, two hundred sixty".