2812409994240 has 2112 divisors, whose sum is σ = 13019671461888. Its totient is φ = 564948172800.

The previous prime is 2812409994203. The next prime is 2812409994259. The reversal of 2812409994240 is 424999042182.

It is a happy number.

2812409994240 is a `hidden beast` number, since 2 + 8 + 124 + 0 + 9 + 99 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 2969809447 + ... + 2969810393.

Almost surely, 2^{2812409994240} is an apocalyptic number.

2812409994240 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 2812409994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509835730944).

2812409994240 is an abundant number, since it is smaller than the sum of its proper divisors (10207261467648).

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

2812409994240 is a wasteful number, since it uses less digits than its factorization.

2812409994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2812409994240 in words is "two trillion, eight hundred twelve billion, four hundred nine million, nine hundred ninety-four thousand, two hundred forty".