2683763280 has 400 divisors, whose sum is σ = 10617070464. Its totient is φ = 621941760.

The previous prime is 2683763263. The next prime is 2683763351. The reversal of 2683763280 is 823673862.

2683763280 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 7 + 632 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1638622 + ... + 1640258.

Almost surely, 2^2683763280 is an apocalyptic number.

2683763280 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 2683763280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308535232).

2683763280 is an abundant number, since it is smaller than the sum of its proper divisors (7933307184).

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

2683763280 is a wasteful number, since it uses less digits than its factorization.

2683763280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2683763280 is about 51805.0507190177. The cubic root of 2683763280 is about 1389.6797702692.

The spelling of 2683763280 in words is "two billion, six hundred eighty-three million, seven hundred sixty-three thousand, two hundred eighty".