2854764000 has 672 divisors, whose sum is σ = 11601364320. Its totient is φ = 684288000.

The previous prime is 2854763993. The next prime is 2854764007. The reversal of 2854764000 is 4674582.

2854764000 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 7 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2854763993) and next prime (2854764007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854764007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32075956 + ... + 32076044.

It is an arithmetic number, because the mean of its divisors is an integer number (17263935).

Almost surely, 2^2854764000 is an apocalyptic number.

2854764000 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 2854764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800682160).

2854764000 is an abundant number, since it is smaller than the sum of its proper divisors (8746600320).

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

2854764000 is an equidigital number, since it uses as much as digits as its factorization.

2854764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2854764000 is about 53429.9915777646. The cubic root of 2854764000 is about 1418.5894874267.

The spelling of 2854764000 in words is "two billion, eight hundred fifty-four million, seven hundred sixty-four thousand".