2872802240 has 224 divisors, whose sum is σ = 8806330368. Its totient is φ = 866304000.

The previous prime is 2872802221. The next prime is 2872802267. The reversal of 2872802240 is 422082782.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2872802240.

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, 761960 + ... + 765720.

Almost surely, 2^2872802240 is an apocalyptic number.

2872802240 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 2872802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403165184).

2872802240 is an abundant number, since it is smaller than the sum of its proper divisors (5933528128).

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

2872802240 is a wasteful number, since it uses less digits than its factorization.

2872802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 2872802240 is about 53598.5283380057. The cubic root of 2872802240 is about 1421.5710707730.

The spelling of 2872802240 in words is "two billion, eight hundred seventy-two million, eight hundred two thousand, two hundred forty".