2674135040 has 104 divisors (see below), whose sum is σ = 6592444440. Its totient is φ = 1040449536.

The previous prime is 2674135033. The next prime is 2674135049. The reversal of 2674135040 is 405314762.

It can be written as a sum of positive squares in 4 ways, for example, as 251920384 + 2422214656 = 15872^2 + 49216^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2674134988 and 2674135006.

It is not an unprimeable number, because it can be changed into a prime (2674135049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755996 + ... + 759524.

Almost surely, 2^2674135040 is an apocalyptic number.

2674135040 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 2674135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296222220).

2674135040 is an abundant number, since it is smaller than the sum of its proper divisors (3918309400).

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

2674135040 is an equidigital number, since it uses as much as digits as its factorization.

2674135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2674135040 is about 51712.0396039452. The cubic root of 2674135040 is about 1388.0159122494.

The spelling of 2674135040 in words is "two billion, six hundred seventy-four million, one hundred thirty-five thousand, forty".