1944979680 has 384 divisors, whose sum is σ = 7357464576. Its totient is φ = 422553600.

The previous prime is 1944979667. The next prime is 1944979691. The reversal of 1944979680 is 869794491.

It is a super-2 number, since 2×1944979680² = 7565891911225804800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1944979680.

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, 7395229 + ... + 7395491.

It is an arithmetic number, because the mean of its divisors is an integer number (19160064).

Almost surely, 2^1944979680 is an apocalyptic number.

1944979680 is a gapful number since it is divisible by the number (10) 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 1944979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678732288).

1944979680 is an abundant number, since it is smaller than the sum of its proper divisors (5412484896).

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

1944979680 is a wasteful number, since it uses less digits than its factorization.

1944979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 1944979680 is about 44101.9237675637. The cubic root of 1944979680 is about 1248.2599105283.

The spelling of 1944979680 in words is "one billion, nine hundred forty-four million, nine hundred seventy-nine thousand, six hundred eighty".