2253478631040 has 2560 divisors, whose sum is σ = 10366616494080. Its totient is φ = 453869568000.

The previous prime is 2253478631023. The next prime is 2253478631051. The reversal of 2253478631040 is 401368743522.

2253478631040 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 4 + 7 + 8 + 631 + 0 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11798317345 + ... + 11798317535.

It is an arithmetic number, because the mean of its divisors is an integer number (4049459568).

Almost surely, 2^{2253478631040} is an apocalyptic number.

2253478631040 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 2253478631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183308247040).

2253478631040 is an abundant number, since it is smaller than the sum of its proper divisors (8113137863040).

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

2253478631040 is a wasteful number, since it uses less digits than its factorization.

2253478631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2253478631040 in words is "two trillion, two hundred fifty-three billion, four hundred seventy-eight million, six hundred thirty-one thousand, forty".