2661432620 has 192 divisors, whose sum is σ = 7424815104. Its totient is φ = 775802880.

The previous prime is 2661432611. The next prime is 2661432629. The reversal of 2661432620 is 262341662.

2661432620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2661432611) and next prime (2661432629).

It is not an unprimeable number, because it can be changed into a prime (2661432629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7251677 + ... + 7252043.

It is an arithmetic number, because the mean of its divisors is an integer number (38670912).

Almost surely, 2^2661432620 is an apocalyptic number.

2661432620 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 2661432620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712407552).

2661432620 is an abundant number, since it is smaller than the sum of its proper divisors (4763382484).

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

2661432620 is a wasteful number, since it uses less digits than its factorization.

2661432620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2661432620 is about 51589.0746185663. The cubic root of 2661432620 is about 1385.8146831489.

The spelling of 2661432620 in words is "two billion, six hundred sixty-one million, four hundred thirty-two thousand, six hundred twenty".