2097638400 has 528 divisors, whose sum is σ = 8187475968. Its totient is φ = 466944000.

The previous prime is 2097638383. The next prime is 2097638407. The reversal of 2097638400 is 48367902.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2097638407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982305 + ... + 10982495.

Almost surely, 2^2097638400 is an apocalyptic number.

2097638400 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 2097638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093737984).

2097638400 is an abundant number, since it is smaller than the sum of its proper divisors (6089837568).

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

2097638400 is a wasteful number, since it uses less digits than its factorization.

2097638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2097638400 is about 45799.9825327478. The cubic root of 2097638400 is about 1280.0989506837.

The spelling of 2097638400 in words is "two billion, ninety-seven million, six hundred thirty-eight thousand, four hundred".