2420751168 has 252 divisors, whose sum is σ = 7799588160. Its totient is φ = 716981760.

The previous prime is 2420751143. The next prime is 2420751199. The reversal of 2420751168 is 8611570242.

2420751168 is a `hidden beast` number, since 2 + 420 + 75 + 1 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3275343 + ... + 3276081.

Almost surely, 2^2420751168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899794080).

2420751168 is an abundant number, since it is smaller than the sum of its proper divisors (5378836992).

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

2420751168 is a wasteful number, since it uses less digits than its factorization.

2420751168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2420751168 is about 49201.1297431268. The cubic root of 2420751168 is about 1342.7135862749.

The spelling of 2420751168 in words is "two billion, four hundred twenty million, seven hundred fifty-one thousand, one hundred sixty-eight".