2683514880 has 416 divisors, whose sum is σ = 10002193920. Its totient is φ = 681246720.

The previous prime is 2683514879. The next prime is 2683514893. The reversal of 2683514880 is 884153862.

It is a super-2 number, since 2×2683514880² = 14402504222362828800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12717975 + ... + 12718185.

Almost surely, 2^2683514880 is an apocalyptic number.

2683514880 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 2683514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001096960).

2683514880 is an abundant number, since it is smaller than the sum of its proper divisors (7318679040).

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

2683514880 is a wasteful number, since it uses less digits than its factorization.

2683514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2683514880 is about 51802.6532139040. The cubic root of 2683514880 is about 1389.6368942689.

The spelling of 2683514880 in words is "two billion, six hundred eighty-three million, five hundred fourteen thousand, eight hundred eighty".