2674033920 has 216 divisors, whose sum is σ = 9351165096. Its totient is φ = 705429504.

The previous prime is 2674033909. The next prime is 2674033927. The reversal of 2674033920 is 293304762.

It is a happy number.

2674033920 is a `hidden beast` number, since 267 + 4 + 0 + 3 + 392 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 2672476416 = 1248^2 + 51696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674033927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116244 + ... + 1118636.

It is an arithmetic number, because the mean of its divisors is an integer number (43292431).

Almost surely, 2^2674033920 is an apocalyptic number.

2674033920 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 2674033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675582548).

2674033920 is an abundant number, since it is smaller than the sum of its proper divisors (6677131176).

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

2674033920 is a wasteful number, since it uses less digits than its factorization.

2674033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2674033920 is about 51711.0618726787. The cubic root of 2674033920 is about 1387.9984165064.

The spelling of 2674033920 in words is "two billion, six hundred seventy-four million, thirty-three thousand, nine hundred twenty".