2051257824 has 288 divisors, whose sum is σ = 7518309120. Its totient is φ = 532604160.

The previous prime is 2051257787. The next prime is 2051257877. The reversal of 2051257824 is 4287521502.

It is a happy number.

2051257824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 730407 + ... + 733209.

It is an arithmetic number, because the mean of its divisors is an integer number (26105240).

Almost surely, 2^2051257824 is an apocalyptic number.

2051257824 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 2051257824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759154560).

2051257824 is an abundant number, since it is smaller than the sum of its proper divisors (5467051296).

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

2051257824 is a wasteful number, since it uses less digits than its factorization.

2051257824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2051257824 is about 45290.8139030422. The cubic root of 2051257824 is about 1270.5938537515.

The spelling of 2051257824 in words is "two billion, fifty-one million, two hundred fifty-seven thousand, eight hundred twenty-four".