2872753000 has 128 divisors (see below), whose sum is σ = 7296700320. Its totient is φ = 1052313600.

The previous prime is 2872752997. The next prime is 2872753033. The reversal of 2872753000 is 3572782.

It can be written as a sum of positive squares in 16 ways, for example, as 252746404 + 2620006596 = 15898^2 + 51186^2 .

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, 1780194 + ... + 1781806.

Almost surely, 2^2872753000 is an apocalyptic number.

2872753000 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 2872753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648350160).

2872753000 is an abundant number, since it is smaller than the sum of its proper divisors (4423947320).

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

2872753000 is a wasteful number, since it uses less digits than its factorization.

2872753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2872753000 is about 53598.0689950674. The cubic root of 2872753000 is about 1421.5629487893.

The spelling of 2872753000 in words is "two billion, eight hundred seventy-two million, seven hundred fifty-three thousand".