2097734688 has 324 divisors, whose sum is σ = 7280027118. Its totient is φ = 571253760.

The previous prime is 2097734687. The next prime is 2097734693. The reversal of 2097734688 is 8864377902.

2097734688 is a `hidden beast` number, since 20 + 97 + 73 + 468 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1646087184 + 451647504 = 40572^2 + 21252^2 .

It is not an unprimeable number, because it can be changed into a prime (2097734687) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7465108 + ... + 7465388.

Almost surely, 2^2097734688 is an apocalyptic number.

2097734688 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 2097734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640013559).

2097734688 is an abundant number, since it is smaller than the sum of its proper divisors (5182292430).

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

2097734688 is a wasteful number, since it uses less digits than its factorization.

2097734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2097734688 is about 45801.0337001252. The cubic root of 2097734688 is about 1280.1185371993.

The spelling of 2097734688 in words is "two billion, ninety-seven million, seven hundred thirty-four thousand, six hundred eighty-eight".