2965738230 has 432 divisors, whose sum is σ = 10318810320. Its totient is φ = 585639936.

The previous prime is 2965738229. The next prime is 2965738249. The reversal of 2965738230 is 328375692.

2965738230 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2965738230³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16568281 + ... + 16568459.

It is an arithmetic number, because the mean of its divisors is an integer number (23886135).

Almost surely, 2^2965738230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965738230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159405160).

2965738230 is an abundant number, since it is smaller than the sum of its proper divisors (7353072090).

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

2965738230 is a wasteful number, since it uses less digits than its factorization.

2965738230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2965738230 is about 54458.5918841095. The cubic root of 2965738230 is about 1436.7380882866.

The spelling of 2965738230 in words is "two billion, nine hundred sixty-five million, seven hundred thirty-eight thousand, two hundred thirty".