2681042702400 has 252 divisors, whose sum is σ = 9621579244992. Its totient is φ = 708003118080.

The previous prime is 2681042702383. The next prime is 2681042702489. The reversal of 2681042702400 is 42072401862.

2681042702400 is a `hidden beast` number, since 268 + 104 + 270 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 579397 + ... + 2387003.

Almost surely, 2^{2681042702400} is an apocalyptic number.

2681042702400 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 2681042702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810789622496).

2681042702400 is an abundant number, since it is smaller than the sum of its proper divisors (6940536542592).

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

2681042702400 is a wasteful number, since it uses less digits than its factorization.

2681042702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807738 (or 1807720 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2681042702400 in words is "two trillion, six hundred eighty-one billion, forty-two million, seven hundred two thousand, four hundred".