2428314720 has 192 divisors, whose sum is σ = 8321310144. Its totient is φ = 591667200.

The previous prime is 2428314709. The next prime is 2428314767. The reversal of 2428314720 is 274138242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628314 + ... + 632166.

It is an arithmetic number, because the mean of its divisors is an integer number (43340157).

Almost surely, 2^2428314720 is an apocalyptic number.

2428314720 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 2428314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160655072).

2428314720 is an abundant number, since it is smaller than the sum of its proper divisors (5892995424).

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

2428314720 is a wasteful number, since it uses less digits than its factorization.

2428314720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2428314720 is about 49277.9333982260. The cubic root of 2428314720 is about 1344.1105528392.

The spelling of 2428314720 in words is "two billion, four hundred twenty-eight million, three hundred fourteen thousand, seven hundred twenty".