2784906000 has 480 divisors, whose sum is σ = 10863590400. Its totient is φ = 660787200.

The previous prime is 2784905999. The next prime is 2784906011. The reversal of 2784906000 is 6094872.

2784906000 is a `hidden beast` number, since 2 + 7 + 8 + 49 + 0 + 600 + 0 = 666.

2784906000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5813761 + ... + 5814239.

It is an arithmetic number, because the mean of its divisors is an integer number (22632480).

Almost surely, 2^2784906000 is an apocalyptic number.

2784906000 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 2784906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431795200).

2784906000 is an abundant number, since it is smaller than the sum of its proper divisors (8078684400).

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

2784906000 is a wasteful number, since it uses less digits than its factorization.

2784906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2784906000 is about 52772.2085950550. The cubic root of 2784906000 is about 1406.9225168467.

It can be divided in two parts, 278 and 4906000, that added together give a triangular number (4906278 = T₃₁₃₂).

The spelling of 2784906000 in words is "two billion, seven hundred eighty-four million, nine hundred six thousand".