2962146420 has 144 divisors (see below), whose sum is σ = 9346821120. Its totient is φ = 758419200.

The previous prime is 2962146367. The next prime is 2962146427. The reversal of 2962146420 is 246412692.

2962146420 is a `hidden beast` number, since 2 + 9 + 6 + 2 + 1 + 4 + 642 + 0 = 666.

It is a super-2 number, since 2×2962146420² = 17548622827037632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2962146427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995535 + ... + 998505.

It is an arithmetic number, because the mean of its divisors is an integer number (64908480).

Almost surely, 2^2962146420 is an apocalyptic number.

2962146420 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 2962146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673410560).

2962146420 is an abundant number, since it is smaller than the sum of its proper divisors (6384674700).

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

2962146420 is a wasteful number, since it uses less digits than its factorization.

2962146420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2962146420 is about 54425.6044523164. The cubic root of 2962146420 is about 1436.1578420963.

The spelling of 2962146420 in words is "two billion, nine hundred sixty-two million, one hundred forty-six thousand, four hundred twenty".