1011882240 has 576 divisors, whose sum is σ = 4002969600. Its totient is φ = 240869376.

The previous prime is 1011882227. The next prime is 1011882247. The reversal of 1011882240 is 422881101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011882247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15102687 + ... + 15102753.

It is an arithmetic number, because the mean of its divisors is an integer number (6949600).

Almost surely, 2^1011882240 is an apocalyptic number.

1011882240 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 1011882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001484800).

1011882240 is an abundant number, since it is smaller than the sum of its proper divisors (2991087360).

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

1011882240 is a wasteful number, since it uses less digits than its factorization.

1011882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1011882240 is about 31810.0965103849. The cubic root of 1011882240 is about 1003.9451618964.

The spelling of 1011882240 in words is "one billion, eleven million, eight hundred eighty-two thousand, two hundred forty".