1962256842 has 144 divisors (see below), whose sum is σ = 5428299240. Its totient is φ = 507596544.

The previous prime is 1962256831. The next prime is 1962256859. The reversal of 1962256842 is 2486522691.

1962256842 is a `hidden beast` number, since 19 + 622 + 5 + 6 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1380048201 + 582208641 = 37149^2 + 24129^2 .

It is a super-3 number, since 3×1962256842³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606084 + ... + 609312.

Almost surely, 2^1962256842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962256842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714149620).

1962256842 is an abundant number, since it is smaller than the sum of its proper divisors (3466042398).

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

1962256842 is a wasteful number, since it uses less digits than its factorization.

1962256842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3307 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1962256842 is about 44297.3683416972. The cubic root of 1962256842 is about 1251.9450979984.

The spelling of 1962256842 in words is "one billion, nine hundred sixty-two million, two hundred fifty-six thousand, eight hundred forty-two".