2428438123200 has 336 divisors, whose sum is σ = 8406226967040. Its totient is φ = 612066816000.

The previous prime is 2428438123141. The next prime is 2428438123211. The reversal of 2428438123200 is 23218348242.

It is a super-2 number, since 2×2428438123200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39276310 + ... + 39338090.

It is an arithmetic number, because the mean of its divisors is an integer number (25018532640).

Almost surely, 2^{2428438123200} is an apocalyptic number.

2428438123200 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 2428438123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203113483520).

2428438123200 is an abundant number, since it is smaller than the sum of its proper divisors (5977788843840).

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

2428438123200 is a wasteful number, since it uses less digits than its factorization.

2428438123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62256 (or 62241 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 2428438123200 in words is "two trillion, four hundred twenty-eight billion, four hundred thirty-eight million, one hundred twenty-three thousand, two hundred".