2059740144 has 320 divisors, whose sum is σ = 7761408000. Its totient is φ = 506684160.

The previous prime is 2059740139. The next prime is 2059740203. The reversal of 2059740144 is 4410479502.

It is a happy number.

2059740144 is a `hidden beast` number, since 20 + 597 + 4 + 0 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2059740099 and 2059740108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630387 + ... + 633645.

It is an arithmetic number, because the mean of its divisors is an integer number (24254400).

Almost surely, 2^2059740144 is an apocalyptic number.

2059740144 is a gapful number since it is divisible by the number (24) 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 2059740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880704000).

2059740144 is an abundant number, since it is smaller than the sum of its proper divisors (5701667856).

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

2059740144 is a wasteful number, since it uses less digits than its factorization.

2059740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2059740144 is about 45384.3601254882. The cubic root of 2059740144 is about 1272.3428232240.

The spelling of 2059740144 in words is "two billion, fifty-nine million, seven hundred forty thousand, one hundred forty-four".