2827742400 has 504 divisors, whose sum is σ = 11923125760. Its totient is φ = 645719040.

The previous prime is 2827742389. The next prime is 2827742459. The reversal of 2827742400 is 42477282.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2827742400² = 15992254161515520000, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721081 + ... + 2722119.

Almost surely, 2^2827742400 is an apocalyptic number.

2827742400 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 2827742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961562880).

2827742400 is an abundant number, since it is smaller than the sum of its proper divisors (9095383360).

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

2827742400 is a wasteful number, since it uses less digits than its factorization.

2827742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2827742400 is about 53176.5211348016. The cubic root of 2827742400 is about 1414.0994323718.

The spelling of 2827742400 in words is "two billion, eight hundred twenty-seven million, seven hundred forty-two thousand, four hundred".