2081436134400 has 2112 divisors, whose sum is σ = 9111491112960. Its totient is φ = 461513687040.

The previous prime is 2081436134377. The next prime is 2081436134417. The reversal of 2081436134400 is 44316341802.

2081436134400 is a `hidden beast` number, since 2 + 0 + 81 + 43 + 6 + 134 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18419788744 + ... + 18419788856.

Almost surely, 2^{2081436134400} is an apocalyptic number.

2081436134400 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 2081436134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555745556480).

2081436134400 is an abundant number, since it is smaller than the sum of its proper divisors (7030054978560).

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

2081436134400 is an equidigital number, since it uses as much as digits as its factorization.

2081436134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2081436134400 in words is "two trillion, eighty-one billion, four hundred thirty-six million, one hundred thirty-four thousand, four hundred".