1952282880 has 216 divisors, whose sum is σ = 6809500152. Its totient is φ = 516390912.

The previous prime is 1952282867. The next prime is 1952282881. The reversal of 1952282880 is 882822591.

It can be written as a sum of positive squares in 4 ways, for example, as 448084224 + 1504198656 = 21168^2 + 38784^2 .

It is a super-2 number, since 2×1952282880² = 7622816887082188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952282881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577622 + ... + 1578858.

Almost surely, 2^1952282880 is an apocalyptic number.

1952282880 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 1952282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404750076).

1952282880 is an abundant number, since it is smaller than the sum of its proper divisors (4857217272).

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

1952282880 is a wasteful number, since it uses less digits than its factorization.

1952282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1952282880 is about 44184.6452967544. The cubic root of 1952282880 is about 1249.8203219072.

The spelling of 1952282880 in words is "one billion, nine hundred fifty-two million, two hundred eighty-two thousand, eight hundred eighty".