2671265240 has 64 divisors (see below), whose sum is σ = 6875184960. Its totient is φ = 915033600.

The previous prime is 2671265231. The next prime is 2671265269. The reversal of 2671265240 is 425621762.

2671265240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2671265240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360614 + ... + 367946.

It is an arithmetic number, because the mean of its divisors is an integer number (107424765).

Almost surely, 2^2671265240 is an apocalyptic number.

2671265240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671265240 is an abundant number, since it is smaller than the sum of its proper divisors (4203919720).

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

2671265240 is a wasteful number, since it uses less digits than its factorization.

2671265240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2671265240 is about 51684.2842651420. The cubic root of 2671265240 is about 1387.5192091056.

The spelling of 2671265240 in words is "two billion, six hundred seventy-one million, two hundred sixty-five thousand, two hundred forty".