2973906000 has 480 divisors, whose sum is σ = 11406769920. Its totient is φ = 717696000.

The previous prime is 2973905989. The next prime is 2973906017. The reversal of 2973906000 is 6093792.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16613911 + ... + 16614089.

It is an arithmetic number, because the mean of its divisors is an integer number (23764104).

Almost surely, 2^2973906000 is an apocalyptic number.

2973906000 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 2973906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

2973906000 is an abundant number, since it is smaller than the sum of its proper divisors (8432863920).

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

2973906000 is a wasteful number, since it uses less digits than its factorization.

2973906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2973906000 is about 54533.5309694870. The cubic root of 2973906000 is about 1438.0558253839.

Adding to 2973906000 its reverse (6093792), we get a palindrome (2979999792).

The spelling of 2973906000 in words is "two billion, nine hundred seventy-three million, nine hundred six thousand".