1950695040 has 256 divisors, whose sum is σ = 7481088000. Its totient is φ = 422350848.

The previous prime is 1950695029. The next prime is 1950695041. The reversal of 1950695040 is 405960591.

It is a super-2 number, since 2×1950695040² = 7610422278161203200, 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 1950695040.

It is not an unprimeable number, because it can be changed into a prime (1950695041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251541 + ... + 259179.

It is an arithmetic number, because the mean of its divisors is an integer number (29223000).

Almost surely, 2^1950695040 is an apocalyptic number.

1950695040 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 1950695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740544000).

1950695040 is an abundant number, since it is smaller than the sum of its proper divisors (5530392960).

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

1950695040 is a wasteful number, since it uses less digits than its factorization.

1950695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 1950695040 is about 44166.6734088045. The cubic root of 1950695040 is about 1249.4813934008.

The spelling of 1950695040 in words is "one billion, nine hundred fifty million, six hundred ninety-five thousand, forty".