2698375680 has 1200 divisors, whose sum is σ = 13047718464. Its totient is φ = 517570560.

The previous prime is 2698375657. The next prime is 2698375699. The reversal of 2698375680 is 865738962.

It is a happy number.

2698375680 is a `hidden beast` number, since 269 + 8 + 375 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 207567354 + ... + 207567366.

Almost surely, 2^2698375680 is an apocalyptic number.

2698375680 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 2698375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523859232).

2698375680 is an abundant number, since it is smaller than the sum of its proper divisors (10349342784).

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

2698375680 is a wasteful number, since it uses less digits than its factorization.

2698375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2698375680 is about 51945.8918491155. The cubic root of 2698375680 is about 1392.1973560844.

The spelling of 2698375680 in words is "two billion, six hundred ninety-eight million, three hundred seventy-five thousand, six hundred eighty".