2029267968 has 528 divisors, whose sum is σ = 7291970784. Its totient is φ = 495452160.

The previous prime is 2029267939. The next prime is 2029267973. The reversal of 2029267968 is 8697629202.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2029267968.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33266658 + ... + 33266718.

Almost surely, 2^2029267968 is an apocalyptic number.

2029267968 is a gapful number since it is divisible by the number (28) 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 2029267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645985392).

2029267968 is an abundant number, since it is smaller than the sum of its proper divisors (5262702816).

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

2029267968 is a wasteful number, since it uses less digits than its factorization.

2029267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2029267968 is about 45047.3969059257. The cubic root of 2029267968 is about 1266.0371998283.

The spelling of 2029267968 in words is "two billion, twenty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".