2661906240 has 560 divisors, whose sum is σ = 11471404032. Its totient is φ = 571981824.

The previous prime is 2661906239. The next prime is 2661906277. The reversal of 2661906240 is 426091662.

2661906240 is a `hidden beast` number, since 26 + 6 + 1 + 9 + 0 + 624 + 0 = 666.

2661906240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2661906195 and 2661906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3084049 + ... + 3084911.

Almost surely, 2^2661906240 is an apocalyptic number.

2661906240 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 2661906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735702016).

2661906240 is an abundant number, since it is smaller than the sum of its proper divisors (8809497792).

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

2661906240 is a wasteful number, since it uses less digits than its factorization.

2661906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2661906240 is about 51593.6647273674. The cubic root of 2661906240 is about 1385.8968833162.

The spelling of 2661906240 in words is "two billion, six hundred sixty-one million, nine hundred six thousand, two hundred forty".