2253143377260 has 288 divisors, whose sum is σ = 7285423541760. Its totient is φ = 562033852416.

The previous prime is 2253143377231. The next prime is 2253143377349. The reversal of 2253143377260 is 627733413522.

2253143377260 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 14 + 3 + 377 + 260 = 666.

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

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, 122225004 + ... + 122243436.

It is an arithmetic number, because the mean of its divisors is an integer number (25296609520).

Almost surely, 2^{2253143377260} is an apocalyptic number.

2253143377260 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 2253143377260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642711770880).

2253143377260 is an abundant number, since it is smaller than the sum of its proper divisors (5032280164500).

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

2253143377260 is a wasteful number, since it uses less digits than its factorization.

2253143377260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18917 (or 18912 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 2253143377260 in words is "two trillion, two hundred fifty-three billion, one hundred forty-three million, three hundred seventy-seven thousand, two hundred sixty".