2971921920 has 320 divisors, whose sum is σ = 10483900416. Its totient is φ = 712212480.

The previous prime is 2971921889. The next prime is 2971921949. The reversal of 2971921920 is 291291792.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2971921920³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10728822 + ... + 10729098.

Almost surely, 2^2971921920 is an apocalyptic number.

2971921920 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 2971921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241950208).

2971921920 is an abundant number, since it is smaller than the sum of its proper divisors (7511978496).

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

2971921920 is a wasteful number, since it uses less digits than its factorization.

2971921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 2971921920 is about 54515.3365577064. The cubic root of 2971921920 is about 1437.7359483649.

The spelling of 2971921920 in words is "two billion, nine hundred seventy-one million, nine hundred twenty-one thousand, nine hundred twenty".