2965201000 has 64 divisors (see below), whose sum is σ = 6950810880. Its totient is φ = 1183988800.

The previous prime is 2965200989. The next prime is 2965201037. The reversal of 2965201000 is 1025692.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644709 + ... + 649291.

It is an arithmetic number, because the mean of its divisors is an integer number (108606420).

Almost surely, 2^2965201000 is an apocalyptic number.

2965201000 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 2965201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475405440).

2965201000 is an abundant number, since it is smaller than the sum of its proper divisors (3985609880).

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

2965201000 is a wasteful number, since it uses less digits than its factorization.

2965201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2965201000 is about 54453.6591975232. The cubic root of 2965201000 is about 1436.6513301897.

Adding to 2965201000 its reverse (1025692), we get a palindrome (2966226692).

The spelling of 2965201000 in words is "two billion, nine hundred sixty-five million, two hundred one thousand".