2689624806120 has 768 divisors, whose sum is σ = 10713327206400. Its totient is φ = 593878625280.

The previous prime is 2689624806119. The next prime is 2689624806191. The reversal of 2689624806120 is 216084269862.

2689624806120 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 624 + 8 + 0 + 6 + 1 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2102911641 + ... + 2102912919.

It is an arithmetic number, because the mean of its divisors is an integer number (13949644800).

Almost surely, 2^{2689624806120} is an apocalyptic number.

2689624806120 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 2689624806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356663603200).

2689624806120 is an abundant number, since it is smaller than the sum of its proper divisors (8023702400280).

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

2689624806120 is a wasteful number, since it uses less digits than its factorization.

2689624806120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2689624806120 in words is "two trillion, six hundred eighty-nine billion, six hundred twenty-four million, eight hundred six thousand, one hundred twenty".