1950296040 has 864 divisors, whose sum is σ = 8851096800. Its totient is φ = 367234560.

The previous prime is 1950296027. The next prime is 1950296057. The reversal of 1950296040 is 406920591.

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 = 1950295986 and 1950296004.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84795469 + ... + 84795491.

It is an arithmetic number, because the mean of its divisors is an integer number (10244325).

Almost surely, 2^1950296040 is an apocalyptic number.

1950296040 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 1950296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425548400).

1950296040 is an abundant number, since it is smaller than the sum of its proper divisors (6900800760).

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

1950296040 is a wasteful number, since it uses less digits than its factorization.

1950296040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1950296040 is about 44162.1561973597. The cubic root of 1950296040 is about 1249.3961969178.

The spelling of 1950296040 in words is "one billion, nine hundred fifty million, two hundred ninety-six thousand, forty".