1872864240 has 160 divisors (see below), whose sum is σ = 6524582400. Its totient is φ = 440951808.

The previous prime is 1872864239. The next prime is 1872864271. The reversal of 1872864240 is 424682781.

It is a super-2 number, since 2×1872864240² = 7015240922941555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1872864192 and 1872864201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58711 + ... + 84809.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 2^1872864240 is an apocalyptic number.

1872864240 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 1872864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262291200).

1872864240 is an abundant number, since it is smaller than the sum of its proper divisors (4651718160).

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

1872864240 is a wasteful number, since it uses less digits than its factorization.

1872864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26151 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1872864240 is about 43276.6015301571. The cubic root of 1872864240 is about 1232.6376604286.

The spelling of 1872864240 in words is "one billion, eight hundred seventy-two million, eight hundred sixty-four thousand, two hundred forty".