2774574000 has 560 divisors, whose sum is σ = 11036641824. Its totient is φ = 668736000.

The previous prime is 2774573987. The next prime is 2774574007. The reversal of 2774574000 is 4754772.

It is a happy number.

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 (2774574007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16037914 + ... + 16038086.

Almost surely, 2^2774574000 is an apocalyptic number.

2774574000 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 2774574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518320912).

2774574000 is an abundant number, since it is smaller than the sum of its proper divisors (8262067824).

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

2774574000 is a wasteful number, since it uses less digits than its factorization.

2774574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 2774574000 is about 52674.2251960102. The cubic root of 2774574000 is about 1405.1804667653.

The spelling of 2774574000 in words is "two billion, seven hundred seventy-four million, five hundred seventy-four thousand".