2467784050560 has 768 divisors, whose sum is σ = 9764081832960. Its totient is φ = 592421879808.

The previous prime is 2467784050559. The next prime is 2467784050561. The reversal of 2467784050560 is 650504877642.

It is a happy number.

2467784050560 is a `hidden beast` number, since 2 + 4 + 6 + 7 + 78 + 4 + 0 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2467784050559) and next prime (2467784050561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2467784050497 and 2467784050506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467784050561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60788029 + ... + 60828611.

It is an arithmetic number, because the mean of its divisors is an integer number (12713648220).

Almost surely, 2^{2467784050560} is an apocalyptic number.

2467784050560 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 2467784050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882040916480).

2467784050560 is an abundant number, since it is smaller than the sum of its proper divisors (7296297782400).

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

2467784050560 is a wasteful number, since it uses less digits than its factorization.

2467784050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40657 (or 40633 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 2467784050560 in words is "two trillion, four hundred sixty-seven billion, seven hundred eighty-four million, fifty thousand, five hundred sixty".