1961903824 has 80 divisors (see below), whose sum is σ = 4171608000. Its totient is φ = 890265600.

The previous prime is 1961903773. The next prime is 1961903831. The reversal of 1961903824 is 4283091691.

It is a happy number.

It is a super-2 number, since 2×1961903824² = 7698133229251645952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224624 + ... + 1226224.

It is an arithmetic number, because the mean of its divisors is an integer number (52145100).

Almost surely, 2^1961903824 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 1961903824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085804000).

1961903824 is an abundant number, since it is smaller than the sum of its proper divisors (2209704176).

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

1961903824 is a wasteful number, since it uses less digits than its factorization.

1961903824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 1961903824 is about 44293.3835239531. The cubic root of 1961903824 is about 1251.8700168213.

The spelling of 1961903824 in words is "one billion, nine hundred sixty-one million, nine hundred three thousand, eight hundred twenty-four".