2059484400 has 240 divisors, whose sum is σ = 7649867520. Its totient is φ = 525254400.

The previous prime is 2059484389. The next prime is 2059484447. The reversal of 2059484400 is 44849502.

2059484400 is a `hidden beast` number, since 20 + 594 + 8 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 244255 + ... + 252545.

It is an arithmetic number, because the mean of its divisors is an integer number (31874448).

Almost surely, 2^2059484400 is an apocalyptic number.

2059484400 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 2059484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824933760).

2059484400 is an abundant number, since it is smaller than the sum of its proper divisors (5590383120).

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

2059484400 is a wasteful number, since it uses less digits than its factorization.

2059484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8324 counting only the distinct ones).

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

The square root of 2059484400 is about 45381.5425035333. The cubic root of 2059484400 is about 1272.2901616440.

The spelling of 2059484400 in words is "two billion, fifty-nine million, four hundred eighty-four thousand, four hundred".