2464784891560 has 72 divisors (see below), whose sum is σ = 5700552222330. Its totient is φ = 959124651264.

The previous prime is 2464784891531. The next prime is 2464784891561. The reversal of 2464784891560 is 651984874642.

It can be written as a sum of positive squares in 9 ways, for example, as 1611899395236 + 852885496324 = 1269606^2 + 923518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2464784891492 and 2464784891501.

It is not an unprimeable number, because it can be changed into a prime (2464784891561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367381486 + ... + 367388194.

Almost surely, 2^{2464784891560} is an apocalyptic number.

2464784891560 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 2464784891560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850276111165).

2464784891560 is an abundant number, since it is smaller than the sum of its proper divisors (3235767330770).

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

2464784891560 is an frugal number, since it uses more digits than its factorization.

2464784891560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13503 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 2464784891560 in words is "two trillion, four hundred sixty-four billion, seven hundred eighty-four million, eight hundred ninety-one thousand, five hundred sixty".