2661090432 has 768 divisors, whose sum is σ = 10314501120. Its totient is φ = 596090880.

The previous prime is 2661090407. The next prime is 2661090451. The reversal of 2661090432 is 2340901662.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2661090393 and 2661090402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61885803 + ... + 61885845.

It is an arithmetic number, because the mean of its divisors is an integer number (13430340).

Almost surely, 2^2661090432 is an apocalyptic number.

2661090432 is a gapful number since it is divisible by the number (22) 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 2661090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157250560).

2661090432 is an abundant number, since it is smaller than the sum of its proper divisors (7653410688).

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

2661090432 is a wasteful number, since it uses less digits than its factorization.

2661090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2661090432 is about 51585.7580345583. The cubic root of 2661090432 is about 1385.7552878848.

The spelling of 2661090432 in words is "two billion, six hundred sixty-one million, ninety thousand, four hundred thirty-two".