1995249816 has 288 divisors, whose sum is σ = 6675402240. Its totient is φ = 535683456.

The previous prime is 1995249803. The next prime is 1995249847. The reversal of 1995249816 is 6189425991.

1995249816 is a `hidden beast` number, since 1 + 99 + 52 + 498 + 16 = 666.

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, 5436465 + ... + 5436831.

It is an arithmetic number, because the mean of its divisors is an integer number (23178480).

Almost surely, 2^1995249816 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 1995249816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337701120).

1995249816 is an abundant number, since it is smaller than the sum of its proper divisors (4680152424).

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

1995249816 is a wasteful number, since it uses less digits than its factorization.

1995249816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1995249816 is about 44668.2193063480. The cubic root of 1995249816 is about 1258.9227830166.

The spelling of 1995249816 in words is "one billion, nine hundred ninety-five million, two hundred forty-nine thousand, eight hundred sixteen".