2096294400 has 360 divisors, whose sum is σ = 7757253504. Its totient is φ = 540057600.

The previous prime is 2096294303. The next prime is 2096294401. The reversal of 2096294400 is 44926902.

2096294400 is a `hidden beast` number, since 20 + 9 + 629 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2096294400² = 8788900422942720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2096294401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3570907 + ... + 3571493.

Almost surely, 2^2096294400 is an apocalyptic number.

2096294400 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 2096294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878626752).

2096294400 is an abundant number, since it is smaller than the sum of its proper divisors (5660959104).

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

2096294400 is a wasteful number, since it uses less digits than its factorization.

2096294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2096294400 is about 45785.3076870736. The cubic root of 2096294400 is about 1279.8254970444.

The spelling of 2096294400 in words is "two billion, ninety-six million, two hundred ninety-four thousand, four hundred".