2661708420 has 216 divisors, whose sum is σ = 9432206784. Its totient is φ = 605791872.

The previous prime is 2661708409. The next prime is 2661708437. The reversal of 2661708420 is 248071662.

2661708420 is a `hidden beast` number, since 2 + 66 + 170 + 8 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707249 + ... + 2708231.

It is an arithmetic number, because the mean of its divisors is an integer number (43667624).

Almost surely, 2^2661708420 is an apocalyptic number.

2661708420 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 2661708420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716103392).

2661708420 is an abundant number, since it is smaller than the sum of its proper divisors (6770498364).

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

2661708420 is a wasteful number, since it uses less digits than its factorization.

2661708420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2661708420 is about 51591.7475959092. The cubic root of 2661708420 is about 1385.8625514142.

The spelling of 2661708420 in words is "two billion, six hundred sixty-one million, seven hundred eight thousand, four hundred twenty".