2970339840 has 480 divisors, whose sum is σ = 11367772416. Its totient is φ = 712212480.

The previous prime is 2970339839. The next prime is 2970339871. The reversal of 2970339840 is 489330792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 47 ways as a sum of consecutive naturals, for example, 14077335 + ... + 14077545.

Almost surely, 2^2970339840 is an apocalyptic number.

2970339840 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 2970339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683886208).

2970339840 is an abundant number, since it is smaller than the sum of its proper divisors (8397432576).

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

2970339840 is a wasteful number, since it uses less digits than its factorization.

2970339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2970339840 is about 54500.8242139511. The cubic root of 2970339840 is about 1437.4807804866.

The spelling of 2970339840 in words is "two billion, nine hundred seventy million, three hundred thirty-nine thousand, eight hundred forty".