2674320840 has 256 divisors, whose sum is σ = 9322560000. Its totient is φ = 681053184.

The previous prime is 2674320827. The next prime is 2674320911. The reversal of 2674320840 is 480234762.

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

It is a junction number, because it is equal to n+sod(n) for n = 2674320795 and 2674320804.

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, 3225546 + ... + 3226374.

It is an arithmetic number, because the mean of its divisors is an integer number (36416250).

Almost surely, 2^2674320840 is an apocalyptic number.

2674320840 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 2674320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661280000).

2674320840 is an abundant number, since it is smaller than the sum of its proper divisors (6648239160).

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

2674320840 is a wasteful number, since it uses less digits than its factorization.

2674320840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2674320840 is about 51713.8360596079. The cubic root of 2674320840 is about 1388.0480581433.

The spelling of 2674320840 in words is "two billion, six hundred seventy-four million, three hundred twenty thousand, eight hundred forty".