2102457279744 has 216 divisors, whose sum is σ = 6461009860032. Its totient is φ = 655224422400.

The previous prime is 2102457279721. The next prime is 2102457279827. The reversal of 2102457279744 is 4479727542012.

2102457279744 is a `hidden beast` number, since 2 + 1 + 0 + 24 + 572 + 7 + 9 + 7 + 44 = 666.

It is a super-2 number, since 2×2102457279744² (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 23 ways as a sum of consecutive naturals, for example, 5736627 + ... + 6092109.

Almost surely, 2^{2102457279744} is an apocalyptic number.

2102457279744 is a gapful number since it is divisible by the number (24) 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 2102457279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230504930016).

2102457279744 is an abundant number, since it is smaller than the sum of its proper divisors (4358552580288).

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

2102457279744 is a wasteful number, since it uses less digits than its factorization.

2102457279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355673 (or 355656 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 2102457279744 in words is "two trillion, one hundred two billion, four hundred fifty-seven million, two hundred seventy-nine thousand, seven hundred forty-four".