1516949040 has 160 divisors (see below), whose sum is σ = 4947111936. Its totient is φ = 383984640.

The previous prime is 1516948991. The next prime is 1516949041. The reversal of 1516949040 is 409496151.

It is a super-2 number, since 2×1516949040² = 4602268779913843200, 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 1516949040.

It is not an unprimeable number, because it can be changed into a prime (1516949041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392397 + ... + 396243.

Almost surely, 2^1516949040 is an apocalyptic number.

1516949040 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 1516949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473555968).

1516949040 is an abundant number, since it is smaller than the sum of its proper divisors (3430162896).

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

1516949040 is a wasteful number, since it uses less digits than its factorization.

1516949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1516949040 is about 38948.0299886913. The cubic root of 1516949040 is about 1149.0096173944.

The spelling of 1516949040 in words is "one billion, five hundred sixteen million, nine hundred forty-nine thousand, forty".