2135098840800 has 144 divisors (see below), whose sum is σ = 7315523026560. Its totient is φ = 539393379840.

The previous prime is 2135098840793. The next prime is 2135098840843. The reversal of 2135098840800 is 80488905312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2135098840800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23365572 + ... + 23456771.

It is an arithmetic number, because the mean of its divisors is an integer number (50802243240).

Almost surely, 2^{2135098840800} is an apocalyptic number.

2135098840800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135098840800 is an abundant number, since it is smaller than the sum of its proper divisors (5180424185760).

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

2135098840800 is a wasteful number, since it uses less digits than its factorization.

2135098840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46822385 (or 46822372 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 2135098840800 in words is "two trillion, one hundred thirty-five billion, ninety-eight million, eight hundred forty thousand, eight hundred".