2094278400 has 324 divisors, whose sum is σ = 7581629328. Its totient is φ = 551485440.

The previous prime is 2094278371. The next prime is 2094278423. The reversal of 2094278400 is 48724902.

2094278400 is a `hidden beast` number, since 209 + 42 + 7 + 8 + 400 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5932624 + ... + 5932976.

Almost surely, 2^2094278400 is an apocalyptic number.

2094278400 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 2094278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790814664).

2094278400 is an abundant number, since it is smaller than the sum of its proper divisors (5487350928).

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

2094278400 is a wasteful number, since it uses less digits than its factorization.

2094278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2094278400 is about 45763.2865952611. The cubic root of 2094278400 is about 1279.4150973497.

The spelling of 2094278400 in words is "two billion, ninety-four million, two hundred seventy-eight thousand, four hundred".