2962401120 has 384 divisors, whose sum is σ = 11942138880. Its totient is φ = 671846400.

The previous prime is 2962401097. The next prime is 2962401121. The reversal of 2962401120 is 211042692.

2962401120 is a `hidden beast` number, since 2 + 9 + 624 + 0 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2962401121) 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 63 ways as a sum of consecutive naturals, for example, 4928820 + ... + 4929420.

It is an arithmetic number, because the mean of its divisors is an integer number (31099320).

Almost surely, 2^2962401120 is an apocalyptic number.

2962401120 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 2962401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971069440).

2962401120 is an abundant number, since it is smaller than the sum of its proper divisors (8979737760).

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

2962401120 is a wasteful number, since it uses less digits than its factorization.

2962401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2962401120 is about 54427.9442933499. The cubic root of 2962401120 is about 1436.1990035680.

The spelling of 2962401120 in words is "two billion, nine hundred sixty-two million, four hundred one thousand, one hundred twenty".