1949410944 has 576 divisors, whose sum is σ = 6988550400. Its totient is φ = 517570560.

The previous prime is 1949410937. The next prime is 1949410973. The reversal of 1949410944 is 4490149491.

1949410944 is a `hidden beast` number, since 19 + 494 + 109 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1949410944² = 7600406057173942272, 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 1949410944.

It is a congruent number.

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, 62884209 + ... + 62884239.

It is an arithmetic number, because the mean of its divisors is an integer number (12132900).

Almost surely, 2^1949410944 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 1949410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494275200).

1949410944 is an abundant number, since it is smaller than the sum of its proper divisors (5039139456).

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

1949410944 is a wasteful number, since it uses less digits than its factorization.

1949410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1949410944 is about 44152.1340820577. The cubic root of 1949410944 is about 1249.2071652901.

The spelling of 1949410944 in words is "one billion, nine hundred forty-nine million, four hundred ten thousand, nine hundred forty-four".