2052191742744 has 256 divisors, whose sum is σ = 6056747343360. Its totient is φ = 571253760000.

The previous prime is 2052191742719. The next prime is 2052191742779. The reversal of 2052191742744 is 4472471912502.

It is a super-2 number, since 2×2052191742744² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2052191742693 and 2052191742702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675728394 + ... + 675731430.

It is an arithmetic number, because the mean of its divisors is an integer number (23659169310).

Almost surely, 2^{2052191742744} is an apocalyptic number.

2052191742744 is a gapful number since it is divisible by the number (24) 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 2052191742744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028373671680).

2052191742744 is an abundant number, since it is smaller than the sum of its proper divisors (4004555600616).

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

2052191742744 is a wasteful number, since it uses less digits than its factorization.

2052191742744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 2052191742744 in words is "two trillion, fifty-two billion, one hundred ninety-one million, seven hundred forty-two thousand, seven hundred forty-four".