2053406609280 has 1792 divisors, whose sum is σ = 8354921379840. Its totient is φ = 478892113920.

The previous prime is 2053406609251. The next prime is 2053406609321. The reversal of 2053406609280 is 829066043502.

2053406609280 is a `hidden beast` number, since 2 + 0 + 5 + 34 + 0 + 6 + 609 + 2 + 8 + 0 = 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 223 ways as a sum of consecutive naturals, for example, 12597586479 + ... + 12597586641.

It is an arithmetic number, because the mean of its divisors is an integer number (4662344520).

Almost surely, 2^{2053406609280} is an apocalyptic number.

2053406609280 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 2053406609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177460689920).

2053406609280 is an abundant number, since it is smaller than the sum of its proper divisors (6301514770560).

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

2053406609280 is a wasteful number, since it uses less digits than its factorization.

2053406609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2053406609280 in words is "two trillion, fifty-three billion, four hundred six million, six hundred nine thousand, two hundred eighty".