2489478084864 has 135 divisors (see below), whose sum is σ = 7423850743617. Its totient is φ = 829750293504.

The previous prime is 2489478084853. The next prime is 2489478084883. The reversal of 2489478084864 is 4684808749842.

It is a happy number.

The square root of 2489478084864 is 1577808.

It is a perfect power (a square), and thus also a powerful number.

2489478084864 is a `hidden beast` number, since 2 + 489 + 4 + 7 + 8 + 0 + 84 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1549726214400 + 939751870464 = 1244880^2 + 969408^2 .

It is a super-2 number, since 2×2489478084864² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2489478084792 and 2489478084801.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 227198874 + ... + 227209830.

Almost surely, 2^{2489478084864} is an apocalyptic number.

2489478084864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2489478084864 is the 1577808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489478084864

2489478084864 is an abundant number, since it is smaller than the sum of its proper divisors (4934372658753).

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

2489478084864 is an frugal number, since it uses more digits than its factorization.

2489478084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21942 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 2489478084864 in words is "two trillion, four hundred eighty-nine billion, four hundred seventy-eight million, eighty-four thousand, eight hundred sixty-four".