2470646728704 has 768 divisors, whose sum is σ = 8787571752960. Its totient is φ = 597562490880.

The previous prime is 2470646728643. The next prime is 2470646728723. The reversal of 2470646728704 is 4078276460742.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2470646728704² (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 63 ways as a sum of consecutive naturals, for example, 780120529 + ... + 780123695.

It is an arithmetic number, because the mean of its divisors is an integer number (11442150720).

Almost surely, 2^{2470646728704} is an apocalyptic number.

2470646728704 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 2470646728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393785876480).

2470646728704 is an abundant number, since it is smaller than the sum of its proper divisors (6316925024256).

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

2470646728704 is a wasteful number, since it uses less digits than its factorization.

2470646728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 57.

The spelling of 2470646728704 in words is "two trillion, four hundred seventy billion, six hundred forty-six million, seven hundred twenty-eight thousand, seven hundred four".