2611640340 has 96 divisors (see below), whose sum is σ = 8478408960. Its totient is φ = 666154368.

The previous prime is 2611640323. The next prime is 2611640341. The reversal of 2611640340 is 430461162.

2611640340 is a `hidden beast` number, since 2 + 6 + 11 + 640 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611640341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92719 + ... + 117558.

It is an arithmetic number, because the mean of its divisors is an integer number (88316760).

Almost surely, 2^2611640340 is an apocalyptic number.

2611640340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2611640340 is an abundant number, since it is smaller than the sum of its proper divisors (5866768620).

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

2611640340 is a wasteful number, since it uses less digits than its factorization.

2611640340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210318 (or 210310 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2611640340 is about 51104.2105897352. The cubic root of 2611640340 is about 1377.1178980224.

The spelling of 2611640340 in words is "two billion, six hundred eleven million, six hundred forty thousand, three hundred forty".