2680641600 has 1008 divisors, whose sum is σ = 12095975808. Its totient is φ = 504299520.

The previous prime is 2680641589. The next prime is 2680641611. The reversal of 2680641600 is 61460862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2680641589) and next prime (2680641611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141086391 + ... + 141086409.

It is an arithmetic number, because the mean of its divisors is an integer number (11999976).

Almost surely, 2^2680641600 is an apocalyptic number.

2680641600 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 2680641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047987904).

2680641600 is an abundant number, since it is smaller than the sum of its proper divisors (9415334208).

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

2680641600 is a wasteful number, since it uses less digits than its factorization.

2680641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2680641600 is about 51774.9128439633. The cubic root of 2680641600 is about 1389.1407487311.

The spelling of 2680641600 in words is "two billion, six hundred eighty million, six hundred forty-one thousand, six hundred".