2683938240 has 280 divisors, whose sum is σ = 10110502512. Its totient is φ = 673505280.

The previous prime is 2683938239. The next prime is 2683938247. The reversal of 2683938240 is 428393862.

2683938240 is a `hidden beast` number, since 268 + 3 + 9 + 382 + 4 + 0 = 666.

It is a super-2 number, since 2×2683938240² = 14407048952268595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683938247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 437595 + ... + 443685.

Almost surely, 2^2683938240 is an apocalyptic number.

2683938240 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 2683938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055251256).

2683938240 is an abundant number, since it is smaller than the sum of its proper divisors (7426564272).

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

2683938240 is a wasteful number, since it uses less digits than its factorization.

2683938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6137 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2683938240 is about 51806.7393299366. The cubic root of 2683938240 is about 1389.7099682989.

The spelling of 2683938240 in words is "two billion, six hundred eighty-three million, nine hundred thirty-eight thousand, two hundred forty".