2051792334240 has 288 divisors, whose sum is σ = 7522011967680. Its totient is φ = 468144906240.

The previous prime is 2051792334239. The next prime is 2051792334289. The reversal of 2051792334240 is 424332971502.

It is a junction number, because it is equal to n+sod(n) for n = 2051792334192 and 2051792334201.

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, 51670 + ... + 2026389.

It is an arithmetic number, because the mean of its divisors is an integer number (26118097110).

Almost surely, 2^{2051792334240} is an apocalyptic number.

2051792334240 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 2051792334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761005983840).

2051792334240 is an abundant number, since it is smaller than the sum of its proper divisors (5470219633440).

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

2051792334240 is a wasteful number, since it uses less digits than its factorization.

2051792334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078116 (or 2078097 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 2051792334240 in words is "two trillion, fifty-one billion, seven hundred ninety-two million, three hundred thirty-four thousand, two hundred forty".