2834086993920 has 2352 divisors, whose sum is σ = 12860533765800. Its totient is φ = 593948049408.

The previous prime is 2834086993879. The next prime is 2834086993949. The reversal of 2834086993920 is 293996804382.

2834086993920 is a `hidden beast` number, since 2 + 83 + 4 + 0 + 86 + 99 + 392 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1158946983936 + 1675140009984 = 1076544^2 + 1294272^2 .

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19020718006 + ... + 19020718154.

Almost surely, 2^{2834086993920} is an apocalyptic number.

2834086993920 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 2834086993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430266882900).

2834086993920 is an abundant number, since it is smaller than the sum of its proper divisors (10026446771880).

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

2834086993920 is an equidigital number, since it uses as much as digits as its factorization.

2834086993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2834086993920 in words is "two trillion, eight hundred thirty-four billion, eighty-six million, nine hundred ninety-three thousand, nine hundred twenty".