2680898400 has 216 divisors, whose sum is σ = 9865149840. Its totient is φ = 683781120.

The previous prime is 2680898387. The next prime is 2680898431. The reversal of 2680898400 is 48980862.

It is a happy number.

2680898400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2680898400² = 14374432462245120000, 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157506 + ... + 173694.

It is an arithmetic number, because the mean of its divisors is an integer number (45671990).

Almost surely, 2^2680898400 is an apocalyptic number.

2680898400 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 2680898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932574920).

2680898400 is an abundant number, since it is smaller than the sum of its proper divisors (7184251440).

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

2680898400 is a wasteful number, since it uses less digits than its factorization.

2680898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16238 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2680898400 is about 51777.3927501183. The cubic root of 2680898400 is about 1389.1851062652.

The spelling of 2680898400 in words is "two billion, six hundred eighty million, eight hundred ninety-eight thousand, four hundred".