2962681644 has 96 divisors (see below), whose sum is σ = 7723638720. Its totient is φ = 877621248.

The previous prime is 2962681627. The next prime is 2962681663. The reversal of 2962681644 is 4461862692.

It is a junction number, because it is equal to n+sod(n) for n = 2962681593 and 2962681602.

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, 2066752 + ... + 2068184.

It is an arithmetic number, because the mean of its divisors is an integer number (80454570).

Almost surely, 2^2962681644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2962681644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861819360).

2962681644 is an abundant number, since it is smaller than the sum of its proper divisors (4760957076).

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

2962681644 is a wasteful number, since it uses less digits than its factorization.

2962681644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2962681644 is about 54430.5212541640. The cubic root of 2962681644 is about 1436.2443356659.

The spelling of 2962681644 in words is "two billion, nine hundred sixty-two million, six hundred eighty-one thousand, six hundred forty-four".