1995215040 has 672 divisors, whose sum is σ = 8840272896. Its totient is φ = 401448960.

The previous prime is 1995215011. The next prime is 1995215107. The reversal of 1995215040 is 405125991.

1995215040 is a `hidden beast` number, since 1 + 99 + 521 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1995214986 and 1995215004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027675 + ... + 6028005.

It is an arithmetic number, because the mean of its divisors is an integer number (13155168).

Almost surely, 2^1995215040 is an apocalyptic number.

1995215040 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 1995215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420136448).

1995215040 is an abundant number, since it is smaller than the sum of its proper divisors (6845057856).

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

1995215040 is a wasteful number, since it uses less digits than its factorization.

1995215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1995215040 is about 44667.8300346010. The cubic root of 1995215040 is about 1258.9154688860.

The spelling of 1995215040 in words is "one billion, nine hundred ninety-five million, two hundred fifteen thousand, forty".