2665401000 has 128 divisors (see below), whose sum is σ = 8677843200. Its totient is φ = 679852800.

The previous prime is 2665400999. The next prime is 2665401007. The reversal of 2665401000 is 1045662.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2665401007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49686 + ... + 88314.

It is an arithmetic number, because the mean of its divisors is an integer number (67795650).

Almost surely, 2^2665401000 is an apocalyptic number.

2665401000 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 2665401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338921600).

2665401000 is an abundant number, since it is smaller than the sum of its proper divisors (6012442200).

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

2665401000 is a wasteful number, since it uses less digits than its factorization.

2665401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38676 (or 38662 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2665401000 is about 51627.5217301780. The cubic root of 2665401000 is about 1386.5031229194.

Adding to 2665401000 its reverse (1045662), we get a palindrome (2666446662).

The spelling of 2665401000 in words is "two billion, six hundred sixty-five million, four hundred one thousand".