2980962432 has 384 divisors, whose sum is σ = 10604736000. Its totient is φ = 820979712.

The previous prime is 2980962431. The next prime is 2980962437. The reversal of 2980962432 is 2342690892.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2980962432² = 17772274041990709248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980962431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4910673 + ... + 4911279.

It is an arithmetic number, because the mean of its divisors is an integer number (27616500).

Almost surely, 2^2980962432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302368000).

2980962432 is an abundant number, since it is smaller than the sum of its proper divisors (7623773568).

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

2980962432 is a wasteful number, since it uses less digits than its factorization.

2980962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2980962432 is about 54598.1907392544. The cubic root of 2980962432 is about 1439.1923248492.

The spelling of 2980962432 in words is "two billion, nine hundred eighty million, nine hundred sixty-two thousand, four hundred thirty-two".