2829978000 has 320 divisors, whose sum is σ = 10278627840. Its totient is φ = 753494400.

The previous prime is 2829977977. The next prime is 2829978013. The reversal of 2829978000 is 8799282.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373677 + ... + 4374323.

It is an arithmetic number, because the mean of its divisors is an integer number (32120712).

Almost surely, 2^2829978000 is an apocalyptic number.

2829978000 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 2829978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139313920).

2829978000 is an abundant number, since it is smaller than the sum of its proper divisors (7448649840).

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

2829978000 is an frugal number, since it uses more digits than its factorization.

2829978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2829978000 is about 53197.5375369951. The cubic root of 2829978000 is about 1414.4719943536.

The spelling of 2829978000 in words is "two billion, eight hundred twenty-nine million, nine hundred seventy-eight thousand".