2661410520 has 320 divisors, whose sum is σ = 9557935200. Its totient is φ = 661893120.

The previous prime is 2661410519. The next prime is 2661410593. The reversal of 2661410520 is 250141662.

2661410520 is a `hidden beast` number, since 26 + 614 + 1 + 0 + 5 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11621766 + ... + 11621994.

Almost surely, 2^2661410520 is an apocalyptic number.

2661410520 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 2661410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778967600).

2661410520 is an abundant number, since it is smaller than the sum of its proper divisors (6896524680).

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

2661410520 is a wasteful number, since it uses less digits than its factorization.

2661410520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2661410520 is about 51588.8604254833. The cubic root of 2661410520 is about 1385.8108472964.

The spelling of 2661410520 in words is "two billion, six hundred sixty-one million, four hundred ten thousand, five hundred twenty".