2814038640 has 540 divisors, whose sum is σ = 11496342312. Its totient is φ = 614960640.

The previous prime is 2814038639. The next prime is 2814038653. The reversal of 2814038640 is 468304182.

2814038640 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 0 + 3 + 8 + 640 = 666.

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 = 2814038595 and 2814038604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33904039 + ... + 33904121.

Almost surely, 2^2814038640 is an apocalyptic number.

2814038640 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 2814038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748171156).

2814038640 is an abundant number, since it is smaller than the sum of its proper divisors (8682303672).

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

2814038640 is a wasteful number, since it uses less digits than its factorization.

2814038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2814038640 is about 53047.5130425546. The cubic root of 2814038640 is about 1411.8114036269.

The spelling of 2814038640 in words is "two billion, eight hundred fourteen million, thirty-eight thousand, six hundred forty".