2051623728 has 540 divisors, whose sum is σ = 7698960360. Its totient is φ = 526901760.

The previous prime is 2051623711. The next prime is 2051623747. The reversal of 2051623728 is 8273261502.

2051623728 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 623 + 7 + 28 = 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 = 2051623692 and 2051623701.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23051908 + ... + 23051996.

It is an arithmetic number, because the mean of its divisors is an integer number (14257334).

Almost surely, 2^2051623728 is an apocalyptic number.

2051623728 is a gapful number since it is divisible by the number (28) 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 2051623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849480180).

2051623728 is an abundant number, since it is smaller than the sum of its proper divisors (5647336632).

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

2051623728 is a wasteful number, since it uses less digits than its factorization.

2051623728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

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

The square root of 2051623728 is about 45294.8532175566. The cubic root of 2051623728 is about 1270.6693989002.

It can be divided in two parts, 20516 and 23728, that added together give a palindrome (44244).

The spelling of 2051623728 in words is "two billion, fifty-one million, six hundred twenty-three thousand, seven hundred twenty-eight".