2055974400 has 360 divisors, whose sum is σ = 7641818184. Its totient is φ = 547430400.

The previous prime is 2055974369. The next prime is 2055974471. The reversal of 2055974400 is 44795502.

2055974400 is a `hidden beast` number, since 20 + 5 + 597 + 4 + 40 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 3110070 + ... + 3110730.

Almost surely, 2^2055974400 is an apocalyptic number.

2055974400 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 2055974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820909092).

2055974400 is an abundant number, since it is smaller than the sum of its proper divisors (5585843784).

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

2055974400 is an frugal number, since it uses more digits than its factorization.

2055974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2055974400 is about 45342.8539022413. The cubic root of 2055974400 is about 1271.5669583229.

The spelling of 2055974400 in words is "two billion, fifty-five million, nine hundred seventy-four thousand, four hundred".