2051889315840 has 2160 divisors, whose sum is σ = 9471666243312. Its totient is φ = 405874409472.

The previous prime is 2051889315829. The next prime is 2051889315851. The reversal of 2051889315840 is 485139881502.

2051889315840 is a `hidden beast` number, since 2 + 0 + 51 + 8 + 8 + 9 + 3 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2051889315829) and next prime (2051889315851).

It can be written as a sum of positive squares in 8 ways, for example, as 90634715136 + 1961254600704 = 301056^2 + 1400448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7984004992 + ... + 7984005248.

Almost surely, 2^{2051889315840} is an apocalyptic number.

2051889315840 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 2051889315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735833121656).

2051889315840 is an abundant number, since it is smaller than the sum of its proper divisors (7419776927472).

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

2051889315840 is a wasteful number, since it uses less digits than its factorization.

2051889315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 2051889315840 in words is "two trillion, fifty-one billion, eight hundred eighty-nine million, three hundred fifteen thousand, eight hundred forty".