2970429000 has 576 divisors, whose sum is σ = 11920970880. Its totient is φ = 613536000.

The previous prime is 2970428971. The next prime is 2970429031. The reversal of 2970429000 is 9240792.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17786917 + ... + 17787083.

It is an arithmetic number, because the mean of its divisors is an integer number (20696130).

Almost surely, 2^2970429000 is an apocalyptic number.

2970429000 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 2970429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960485440).

2970429000 is an abundant number, since it is smaller than the sum of its proper divisors (8950541880).

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

2970429000 is a wasteful number, since it uses less digits than its factorization.

2970429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2970429000 is about 54501.6421770941. The cubic root of 2970429000 is about 1437.4951631847.

Adding to 2970429000 its reverse (9240792), we get a palindrome (2979669792).

The spelling of 2970429000 in words is "two billion, nine hundred seventy million, four hundred twenty-nine thousand".