2096942400 has 504 divisors, whose sum is σ = 8667195264. Its totient is φ = 470937600.

The previous prime is 2096942399. The next prime is 2096942443. The reversal of 2096942400 is 42496902.

2096942400 is a `hidden beast` number, since 209 + 6 + 9 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7156654 + ... + 7156946.

It is an arithmetic number, because the mean of its divisors is an integer number (17196816).

Almost surely, 2^2096942400 is an apocalyptic number.

2096942400 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 2096942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2096942400 is an abundant number, since it is smaller than the sum of its proper divisors (6570252864).

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

2096942400 is a wasteful number, since it uses less digits than its factorization.

2096942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

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

The square root of 2096942400 is about 45792.3836461916. The cubic root of 2096942400 is about 1279.9573553501.

The spelling of 2096942400 in words is "two billion, ninety-six million, nine hundred forty-two thousand, four hundred".