2428037779104 has 384 divisors, whose sum is σ = 8731254228480. Its totient is φ = 640597082112.

The previous prime is 2428037779081. The next prime is 2428037779147. The reversal of 2428037779104 is 4019777308242.

2428037779104 is a `hidden beast` number, since 24 + 2 + 80 + 377 + 79 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5226462 + ... + 5672034.

It is an arithmetic number, because the mean of its divisors is an integer number (22737641220).

Almost surely, 2^{2428037779104} is an apocalyptic number.

2428037779104 is a gapful number since it is divisible by the number (24) 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 2428037779104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365627114240).

2428037779104 is an abundant number, since it is smaller than the sum of its proper divisors (6303216449376).

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

2428037779104 is a wasteful number, since it uses less digits than its factorization.

2428037779104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445669 (or 445655 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2428037779104 in words is "two trillion, four hundred twenty-eight billion, thirty-seven million, seven hundred seventy-nine thousand, one hundred four".