2428279658280 has 1536 divisors, whose sum is σ = 10297165824000. Its totient is φ = 506121799680.

The previous prime is 2428279658269. The next prime is 2428279658293. The reversal of 2428279658280 is 828569728242.

2428279658280 is a `hidden beast` number, since 2 + 4 + 28 + 27 + 9 + 6 + 582 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2045727847 + ... + 2045729033.

It is an arithmetic number, because the mean of its divisors is an integer number (6703884000).

Almost surely, 2^{2428279658280} is an apocalyptic number.

2428279658280 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 2428279658280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148582912000).

2428279658280 is an abundant number, since it is smaller than the sum of its proper divisors (7868886165720).

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

2428279658280 is a wasteful number, since it uses less digits than its factorization.

2428279658280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2428279658280 in words is "two trillion, four hundred twenty-eight billion, two hundred seventy-nine million, six hundred fifty-eight thousand, two hundred eighty".