2674135240 has 128 divisors (see below), whose sum is σ = 7488288000. Its totient is φ = 838591488.

The previous prime is 2674135231. The next prime is 2674135249. The reversal of 2674135240 is 425314762.

It is an interprime number because it is at equal distance from previous prime (2674135231) and next prime (2674135249).

It is a junction number, because it is equal to n+sod(n) for n = 2674135196 and 2674135205.

It is not an unprimeable number, because it can be changed into a prime (2674135249) 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 31 ways as a sum of consecutive naturals, for example, 145614 + ... + 162946.

It is an arithmetic number, because the mean of its divisors is an integer number (58502250).

Almost surely, 2^2674135240 is an apocalyptic number.

2674135240 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 2674135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744144000).

2674135240 is an abundant number, since it is smaller than the sum of its proper divisors (4814152760).

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

2674135240 is a wasteful number, since it uses less digits than its factorization.

2674135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17399 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2674135240 is about 51712.0415377308. The cubic root of 2674135240 is about 1388.0159468529.

The spelling of 2674135240 in words is "two billion, six hundred seventy-four million, one hundred thirty-five thousand, two hundred forty".