2478702352896 has 2000 divisors, whose sum is σ = 9852287056128. Its totient is φ = 614515507200.

The previous prime is 2478702352879. The next prime is 2478702352939. The reversal of 2478702352896 is 6982532078742.

2478702352896 is a `hidden beast` number, since 2 + 4 + 7 + 87 + 0 + 23 + 528 + 9 + 6 = 666.

It is a super-2 number, since 2×2478702352896² (a number of 26 digits) contains 22 as substring.

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 199 ways as a sum of consecutive naturals, for example, 33954826716 + ... + 33954826788.

Almost surely, 2^{2478702352896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478702352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926143528064).

2478702352896 is an abundant number, since it is smaller than the sum of its proper divisors (7373584703232).

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

2478702352896 is an frugal number, since it uses more digits than its factorization.

2478702352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2478702352896 in words is "two trillion, four hundred seventy-eight billion, seven hundred two million, three hundred fifty-two thousand, eight hundred ninety-six".