2674540800 has 324 divisors, whose sum is σ = 9736512240. Its totient is φ = 700231680.

The previous prime is 2674540777. The next prime is 2674540807. The reversal of 2674540800 is 80454762.

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 (2674540807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3398007 + ... + 3398793.

Almost surely, 2^2674540800 is an apocalyptic number.

2674540800 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 2674540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868256120).

2674540800 is an abundant number, since it is smaller than the sum of its proper divisors (7061971440).

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

2674540800 is a wasteful number, since it uses less digits than its factorization.

2674540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

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

The square root of 2674540800 is about 51715.9627194544. The cubic root of 2674540800 is about 1388.0861122511.

The spelling of 2674540800 in words is "two billion, six hundred seventy-four million, five hundred forty thousand, eight hundred".