2684130235920 has 1680 divisors, whose sum is σ = 11524947356160. Its totient is φ = 578459750400.

The previous prime is 2684130235903. The next prime is 2684130235939. The reversal of 2684130235920 is 295320314862.

2684130235920 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 1 + 30 + 23 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3632110911 + ... + 3632111649.

It is an arithmetic number, because the mean of its divisors is an integer number (6860087712).

Almost surely, 2^{2684130235920} is an apocalyptic number.

2684130235920 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 2684130235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762473678080).

2684130235920 is an abundant number, since it is smaller than the sum of its proper divisors (8840817120240).

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

2684130235920 is a wasteful number, since it uses less digits than its factorization.

2684130235920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2684130235920 in words is "two trillion, six hundred eighty-four billion, one hundred thirty million, two hundred thirty-five thousand, nine hundred twenty".