1616442240 has 256 divisors, whose sum is σ = 6027563520. Its totient is φ = 360751104.

The previous prime is 1616442211. The next prime is 1616442299. The reversal of 1616442240 is 422446161.

It is a happy number.

It is a super-2 number, since 2×1616442240² = 5225771030512435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1616442198 and 1616442207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576522 + ... + 579318.

It is an arithmetic number, because the mean of its divisors is an integer number (23545170).

Almost surely, 2^1616442240 is an apocalyptic number.

1616442240 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 1616442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013781760).

1616442240 is an abundant number, since it is smaller than the sum of its proper divisors (4411121280).

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

1616442240 is a wasteful number, since it uses less digits than its factorization.

1616442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1616442240 is about 40205.0026737967. The cubic root of 1616442240 is about 1173.5998992607.

The spelling of 1616442240 in words is "one billion, six hundred sixteen million, four hundred forty-two thousand, two hundred forty".