2801042135424 has 512 divisors, whose sum is σ = 9233113276800. Its totient is φ = 840793374720.

The previous prime is 2801042135399. The next prime is 2801042135459. The reversal of 2801042135424 is 4245312401082.

2801042135424 is a `hidden beast` number, since 2 + 8 + 0 + 10 + 4 + 213 + 5 + 424 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149196502 + ... + 149215274.

Almost surely, 2^{2801042135424} is an apocalyptic number.

2801042135424 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 2801042135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616556638400).

2801042135424 is an abundant number, since it is smaller than the sum of its proper divisors (6432071141376).

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

2801042135424 is an equidigital number, since it uses as much as digits as its factorization.

2801042135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18862 (or 18832 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2801042135424 in words is "two trillion, eight hundred one billion, forty-two million, one hundred thirty-five thousand, four hundred twenty-four".