2612434240 has 112 divisors (see below), whose sum is σ = 6718279680. Its totient is φ = 961873920.

The previous prime is 2612434207. The next prime is 2612434259. The reversal of 2612434240 is 424342162.

It is a junction number, because it is equal to n+sod(n) for n = 2612434199 and 2612434208.

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, 2041921 + ... + 2043199.

It is an arithmetic number, because the mean of its divisors is an integer number (59984640).

Almost surely, 2^2612434240 is an apocalyptic number.

2612434240 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 2612434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359139840).

2612434240 is an abundant number, since it is smaller than the sum of its proper divisors (4105845440).

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

2612434240 is a wasteful number, since it uses less digits than its factorization.

2612434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2612434240 is about 51111.9774612566. The cubic root of 2612434240 is about 1377.2574250365.

The spelling of 2612434240 in words is "two billion, six hundred twelve million, four hundred thirty-four thousand, two hundred forty".