2962842624 has 363 divisors, whose sum is σ = 10334609067. Its totient is φ = 846526464.

The previous prime is 2962842607. The next prime is 2962842629. The reversal of 2962842624 is 4262482692.

The square root of 2962842624 is 54432.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (663552) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2962842624.

It is not an unprimeable number, because it can be changed into a prime (2962842629) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 423263229 + ... + 423263235.

Almost surely, 2^2962842624 is an apocalyptic number.

2962842624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2962842624 is the 54432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2962842624

2962842624 is an abundant number, since it is smaller than the sum of its proper divisors (7371766443).

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

2962842624 is an frugal number, since it uses more digits than its factorization.

2962842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The cubic root of 2962842624 is about 1436.2703484086.

It can be divided in two parts, 296 and 2842624, that added together give a triangular number (2842920 = T₂₃₈₄).

The spelling of 2962842624 in words is "two billion, nine hundred sixty-two million, eight hundred forty-two thousand, six hundred twenty-four".