2665146000 has 240 divisors, whose sum is σ = 9447145344. Its totient is φ = 645920000.

The previous prime is 2665145993. The next prime is 2665146031. The reversal of 2665146000 is 6415662.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724165 + ... + 727835.

Almost surely, 2^2665146000 is an apocalyptic number.

2665146000 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 2665146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723572672).

2665146000 is an abundant number, since it is smaller than the sum of its proper divisors (6781999344).

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

2665146000 is a wasteful number, since it uses less digits than its factorization.

2665146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2665146000 is about 51625.0520580851. The cubic root of 2665146000 is about 1386.4589057363.

The spelling of 2665146000 in words is "two billion, six hundred sixty-five million, one hundred forty-six thousand".