2698978800 has 360 divisors, whose sum is σ = 10151711856. Its totient is φ = 611143680.

The previous prime is 2698978787. The next prime is 2698978813. The reversal of 2698978800 is 88798962.

2698978800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2698978787) and next prime (2698978813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11583484 + ... + 11583716.

Almost surely, 2^2698978800 is an apocalyptic number.

2698978800 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 2698978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075855928).

2698978800 is an abundant number, since it is smaller than the sum of its proper divisors (7452733056).

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

2698978800 is a wasteful number, since it uses less digits than its factorization.

2698978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 2698978800 is about 51951.6967961586. The cubic root of 2698978800 is about 1392.3010727419.

The spelling of 2698978800 in words is "two billion, six hundred ninety-eight million, nine hundred seventy-eight thousand, eight hundred".