2872782000 has 360 divisors, whose sum is σ = 11037106080. Its totient is φ = 695904000.

The previous prime is 2872781999. The next prime is 2872782001. The reversal of 2872782000 is 2872782.

2872782000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2872781999) and next prime (2872782001).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2872782001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177341 + ... + 2178659.

It is an arithmetic number, because the mean of its divisors is an integer number (30658628).

Almost surely, 2^2872782000 is an apocalyptic number.

2872782000 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 2872782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518553040).

2872782000 is an abundant number, since it is smaller than the sum of its proper divisors (8164324080).

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

2872782000 is a wasteful number, since it uses less digits than its factorization.

2872782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2872782000 is about 53598.3395265189. The cubic root of 2872782000 is about 1421.5677322597.

2872782000 divided by its reverse (2872782) gives a cube (1000 = 10³).

The spelling of 2872782000 in words is "two billion, eight hundred seventy-two million, seven hundred eighty-two thousand".