2428096795488 has 960 divisors, whose sum is σ = 9397819791360. Its totient is φ = 596754874368.

The previous prime is 2428096795469. The next prime is 2428096795499. The reversal of 2428096795488 is 8845976908242.

2428096795488 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 0 + 9 + 6 + 79 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 413008933 + ... + 413014811.

It is an arithmetic number, because the mean of its divisors is an integer number (9789395616).

Almost surely, 2^{2428096795488} is an apocalyptic number.

2428096795488 is a gapful number since it is divisible by the number (28) 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 2428096795488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698909895680).

2428096795488 is an abundant number, since it is smaller than the sum of its proper divisors (6969722995872).

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

2428096795488 is a wasteful number, since it uses less digits than its factorization.

2428096795488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 2428096795488 in words is "two trillion, four hundred twenty-eight billion, ninety-six million, seven hundred ninety-five thousand, four hundred eighty-eight".