2872614240 has 192 divisors, whose sum is σ = 10192996800. Its totient is φ = 755453952.

The previous prime is 2872614223. The next prime is 2872614263. The reversal of 2872614240 is 424162782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2872614195 and 2872614204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310806 + ... + 319914.

It is an arithmetic number, because the mean of its divisors is an integer number (53088525).

Almost surely, 2^2872614240 is an apocalyptic number.

2872614240 is a gapful number since it is divisible by the number (20) 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 2872614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096498400).

2872614240 is an abundant number, since it is smaller than the sum of its proper divisors (7320382560).

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

2872614240 is a wasteful number, since it uses less digits than its factorization.

2872614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2872614240 is about 53596.7745298166. The cubic root of 2872614240 is about 1421.5400602626.

The spelling of 2872614240 in words is "two billion, eight hundred seventy-two million, six hundred fourteen thousand, two hundred forty".