2684560734720 has 480 divisors, whose sum is σ = 9703501936128. Its totient is φ = 711297220608.

The previous prime is 2684560734707. The next prime is 2684560734733. The reversal of 2684560734720 is 274370654862.

2684560734720 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 5 + 607 + 3 + 4 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2684560734707) and next prime (2684560734733).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97652817 + ... + 97680303.

Almost surely, 2^{2684560734720} is an apocalyptic number.

2684560734720 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 2684560734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851750968064).

2684560734720 is an abundant number, since it is smaller than the sum of its proper divisors (7018941201408).

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

2684560734720 is an equidigital number, since it uses as much as digits as its factorization.

2684560734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27682 (or 27654 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2684560734720 in words is "two trillion, six hundred eighty-four billion, five hundred sixty million, seven hundred thirty-four thousand, seven hundred twenty".