2102774688 has 384 divisors, whose sum is σ = 7644672000. Its totient is φ = 548674560.

The previous prime is 2102774677. The next prime is 2102774711. The reversal of 2102774688 is 8864772012.

It is a super-2 number, since 2×2102774688² = 8843322776986994688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332133 + ... + 3332763.

It is an arithmetic number, because the mean of its divisors is an integer number (19908000).

Almost surely, 2^2102774688 is an apocalyptic number.

2102774688 is a gapful number since it is divisible by the number (28) 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 2102774688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822336000).

2102774688 is an abundant number, since it is smaller than the sum of its proper divisors (5541897312).

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

2102774688 is a wasteful number, since it uses less digits than its factorization.

2102774688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2102774688 is about 45856.0212840146. The cubic root of 2102774688 is about 1281.1429179815.

The spelling of 2102774688 in words is "two billion, one hundred two million, seven hundred seventy-four thousand, six hundred eighty-eight".