2661582000 has 480 divisors, whose sum is σ = 10902587904. Its totient is φ = 552384000.

The previous prime is 2661581987. The next prime is 2661582023. The reversal of 2661582000 is 2851662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3233589 + ... + 3234411.

Almost surely, 2^2661582000 is an apocalyptic number.

2661582000 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 2661582000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451293952).

2661582000 is an abundant number, since it is smaller than the sum of its proper divisors (8241005904).

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

2661582000 is a wasteful number, since it uses less digits than its factorization.

2661582000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2661582000 is about 51590.5223854149. The cubic root of 2661582000 is about 1385.8406101782.

The spelling of 2661582000 in words is "two billion, six hundred sixty-one million, five hundred eighty-two thousand".