2961029920 has 96 divisors (see below), whose sum is σ = 7617758400. Its totient is φ = 1083350016.

The previous prime is 2961029899. The next prime is 2961029921. The reversal of 2961029920 is 299201692.

2961029920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2961029921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71367 + ... + 104953.

It is an arithmetic number, because the mean of its divisors is an integer number (79351650).

Almost surely, 2^2961029920 is an apocalyptic number.

2961029920 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 2961029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808879200).

2961029920 is an abundant number, since it is smaller than the sum of its proper divisors (4656728480).

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

2961029920 is a wasteful number, since it uses less digits than its factorization.

2961029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33650 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 2961029920 is about 54415.3463647894. The cubic root of 2961029920 is about 1435.9773792936.

The spelling of 2961029920 in words is "two billion, nine hundred sixty-one million, twenty-nine thousand, nine hundred twenty".