2684514624 has 112 divisors (see below), whose sum is σ = 7762378176. Its totient is φ = 812032000.

The previous prime is 2684514611. The next prime is 2684514641. The reversal of 2684514624 is 4264154862.

It is a super-2 number, since 2×2684514624² = 14413237532939722752, which contains 22 as substring.

Its product of digits (368640) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062774 + ... + 2064074.

It is an arithmetic number, because the mean of its divisors is an integer number (69306948).

Almost surely, 2^2684514624 is an apocalyptic number.

2684514624 is a gapful number since it is divisible by the number (24) 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 2684514624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881189088).

2684514624 is an abundant number, since it is smaller than the sum of its proper divisors (5077863552).

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

2684514624 is a wasteful number, since it uses less digits than its factorization.

2684514624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 2684514624 is about 51812.3018596935. The cubic root of 2684514624 is about 1389.8094426764.

The spelling of 2684514624 in words is "two billion, six hundred eighty-four million, five hundred fourteen thousand, six hundred twenty-four".