2051274778020 has 432 divisors, whose sum is σ = 6831931618512. Its totient is φ = 497902878720.

The previous prime is 2051274777991. The next prime is 2051274778043. The reversal of 2051274778020 is 208774721502.

2051274778020 is a `hidden beast` number, since 2 + 0 + 512 + 7 + 47 + 78 + 0 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2048516637696 + 2758140324 = 1431264^2 + 52518^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 923580510 + ... + 923582730.

Almost surely, 2^{2051274778020} is an apocalyptic number.

2051274778020 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 2051274778020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415965809256).

2051274778020 is an abundant number, since it is smaller than the sum of its proper divisors (4780656840492).

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

2051274778020 is a wasteful number, since it uses less digits than its factorization.

2051274778020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 2051274778020 in words is "two trillion, fifty-one billion, two hundred seventy-four million, seven hundred seventy-eight thousand, twenty".