1032242240 has 112 divisors (see below), whose sum is σ = 2605765680. Its totient is φ = 388792320.

The previous prime is 1032242221. The next prime is 1032242251. The reversal of 1032242240 is 422422301.

It can be written as a sum of positive squares in 8 ways, for example, as 33856 + 1032208384 = 184^2 + 32128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 379124 + ... + 381836.

It is an arithmetic number, because the mean of its divisors is an integer number (23265765).

Almost surely, 2^1032242240 is an apocalyptic number.

1032242240 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 1032242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302882840).

1032242240 is an abundant number, since it is smaller than the sum of its proper divisors (1573523440).

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

1032242240 is a wasteful number, since it uses less digits than its factorization.

1032242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1032242240 is about 32128.5268881099. The cubic root of 1032242240 is about 1010.6339319935.

Adding to 1032242240 its reverse (422422301), we get a palindrome (1454664541).

It can be divided in two parts, 103224 and 2240, that multiplied together give a triangular number (231221760 = T₂₁₅₀₄).

The spelling of 1032242240 in words is "one billion, thirty-two million, two hundred forty-two thousand, two hundred forty".