2054894400 has 336 divisors, whose sum is σ = 8069275200. Its totient is φ = 505681920.

The previous prime is 2054894357. The next prime is 2054894423. The reversal of 2054894400 is 44984502.

2054894400 is a `hidden beast` number, since 20 + 548 + 94 + 4 + 0 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559771 + ... + 563429.

It is an arithmetic number, because the mean of its divisors is an integer number (24015700).

Almost surely, 2^2054894400 is an apocalyptic number.

2054894400 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 2054894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034637600).

2054894400 is an abundant number, since it is smaller than the sum of its proper divisors (6014380800).

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

2054894400 is a wasteful number, since it uses less digits than its factorization.

2054894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2054894400 is about 45330.9430742401. The cubic root of 2054894400 is about 1271.3442686422.

The spelling of 2054894400 in words is "two billion, fifty-four million, eight hundred ninety-four thousand, four hundred".