2053796759040 has 640 divisors, whose sum is σ = 7241386521600. Its totient is φ = 493476249600.

The previous prime is 2053796759011. The next prime is 2053796759051. The reversal of 2053796759040 is 409576973502.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2053796759040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 889473406 + ... + 889475714.

It is an arithmetic number, because the mean of its divisors is an integer number (11314666440).

Almost surely, 2^{2053796759040} is an apocalyptic number.

2053796759040 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 2053796759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620693260800).

2053796759040 is an abundant number, since it is smaller than the sum of its proper divisors (5187589762560).

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

2053796759040 is a wasteful number, since it uses less digits than its factorization.

2053796759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 2053796759040 in words is "two trillion, fifty-three billion, seven hundred ninety-six million, seven hundred fifty-nine thousand, forty".