2051431280640 has 416 divisors, whose sum is σ = 8334972879360. Its totient is φ = 468897693696.

The previous prime is 2051431280627. The next prime is 2051431280659. The reversal of 2051431280640 is 460821341502.

It is a happy number.

2051431280640 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 4 + 3 + 1 + 2 + 8 + 0 + 640 = 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 = 2051431280595 and 2051431280604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605727 + ... + 4135713.

Almost surely, 2^{2051431280640} is an apocalyptic number.

2051431280640 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 2051431280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167486439680).

2051431280640 is an abundant number, since it is smaller than the sum of its proper divisors (6283541598720).

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

2051431280640 is an equidigital number, since it uses as much as digits as its factorization.

2051431280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530032 (or 530004 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2051431280640 in words is "two trillion, fifty-one billion, four hundred thirty-one million, two hundred eighty thousand, six hundred forty".