2097770400 has 576 divisors, whose sum is σ = 8455708800. Its totient is φ = 503884800.

The previous prime is 2097770393. The next prime is 2097770431. The reversal of 2097770400 is 40777902.

2097770400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2097770400² = 8801281302232320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19245546 + ... + 19245654.

It is an arithmetic number, because the mean of its divisors is an integer number (14680050).

Almost surely, 2^2097770400 is an apocalyptic number.

2097770400 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 2097770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227854400).

2097770400 is an abundant number, since it is smaller than the sum of its proper divisors (6357938400).

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

2097770400 is a wasteful number, since it uses less digits than its factorization.

2097770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2097770400 is about 45801.4235586625. The cubic root of 2097770400 is about 1280.1258014376.

The spelling of 2097770400 in words is "two billion, ninety-seven million, seven hundred seventy thousand, four hundred".