2661984000 has 720 divisors, whose sum is σ = 10803112320. Its totient is φ = 646963200.

The previous prime is 2661983969. The next prime is 2661984011. The reversal of 2661984000 is 4891662.

2661984000 is a `hidden beast` number, since 2 + 66 + 198 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 33695961 + ... + 33696039.

Almost surely, 2^2661984000 is an apocalyptic number.

2661984000 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 2661984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401556160).

2661984000 is an abundant number, since it is smaller than the sum of its proper divisors (8141128320).

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

2661984000 is an equidigital number, since it uses as much as digits as its factorization.

2661984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2661984000 is about 51594.4183027583. The cubic root of 2661984000 is about 1385.9103781933.

The spelling of 2661984000 in words is "two billion, six hundred sixty-one million, nine hundred eighty-four thousand".