1950378240 has 144 divisors (see below), whose sum is σ = 6248164608. Its totient is φ = 518504448.

The previous prime is 1950378211. The next prime is 1950378251. The reversal of 1950378240 is 428730591.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777372 + ... + 1778468.

It is an arithmetic number, because the mean of its divisors is an integer number (43390032).

Almost surely, 2^1950378240 is an apocalyptic number.

1950378240 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 1950378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124082304).

1950378240 is an abundant number, since it is smaller than the sum of its proper divisors (4297786368).

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

1950378240 is a wasteful number, since it uses less digits than its factorization.

1950378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1950378240 is about 44163.0868486341. The cubic root of 1950378240 is about 1249.4137496247.

The spelling of 1950378240 in words is "one billion, nine hundred fifty million, three hundred seventy-eight thousand, two hundred forty".