1950701040 has 480 divisors, whose sum is σ = 7370528256. Its totient is φ = 460062720.

The previous prime is 1950701029. The next prime is 1950701069. The reversal of 1950701040 is 401070591.

It is a junction number, because it is equal to n+sod(n) for n = 1950700995 and 1950701013.

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, 20110272 + ... + 20110368.

Almost surely, 2^1950701040 is an apocalyptic number.

1950701040 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 1950701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685264128).

1950701040 is an abundant number, since it is smaller than the sum of its proper divisors (5419827216).

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

1950701040 is a wasteful number, since it uses less digits than its factorization.

1950701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1950701040 is about 44166.7413332702. The cubic root of 1950701040 is about 1249.4826744623.

The spelling of 1950701040 in words is "one billion, nine hundred fifty million, seven hundred one thousand, forty".