1952438280 has 256 divisors, whose sum is σ = 6657638400. Its totient is φ = 454671360.

The previous prime is 1952438273. The next prime is 1952438291. The reversal of 1952438280 is 828342591.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2272491 + ... + 2273349.

It is an arithmetic number, because the mean of its divisors is an integer number (26006400).

Almost surely, 2^1952438280 is an apocalyptic number.

1952438280 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 1952438280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328819200).

1952438280 is an abundant number, since it is smaller than the sum of its proper divisors (4705200120).

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

1952438280 is a wasteful number, since it uses less digits than its factorization.

1952438280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1952438280 is about 44186.4037912116. The cubic root of 1952438280 is about 1249.8534825601.

The spelling of 1952438280 in words is "one billion, nine hundred fifty-two million, four hundred thirty-eight thousand, two hundred eighty".