2124912960 has 672 divisors, whose sum is σ = 8533912320. Its totient is φ = 496336896.

The previous prime is 2124912953. The next prime is 2124912967. The reversal of 2124912960 is 692194212.

It is an interprime number because it is at equal distance from previous prime (2124912953) and next prime (2124912967).

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 (2124912967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57430062 + ... + 57430098.

Almost surely, 2^2124912960 is an apocalyptic number.

2124912960 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 2124912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266956160).

2124912960 is an abundant number, since it is smaller than the sum of its proper divisors (6408999360).

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

2124912960 is a wasteful number, since it uses less digits than its factorization.

2124912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2124912960 is about 46096.7781954444. The cubic root of 2124912960 is about 1285.6232418071.

The spelling of 2124912960 in words is "two billion, one hundred twenty-four million, nine hundred twelve thousand, nine hundred sixty".