2688114240 has 336 divisors, whose sum is σ = 10795479552. Its totient is φ = 601141248.

The previous prime is 2688114223. The next prime is 2688114263. The reversal of 2688114240 is 424118862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2688114195 and 2688114204.

It is a congruent number.

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, 946102 + ... + 948938.

Almost surely, 2^2688114240 is an apocalyptic number.

2688114240 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 2688114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397739776).

2688114240 is an abundant number, since it is smaller than the sum of its proper divisors (8107365312).

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

2688114240 is a wasteful number, since it uses less digits than its factorization.

2688114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2688114240 is about 51847.0273014760. The cubic root of 2688114240 is about 1390.4303551599.

The spelling of 2688114240 in words is "two billion, six hundred eighty-eight million, one hundred fourteen thousand, two hundred forty".