2487829956480 has 896 divisors, whose sum is σ = 9765638467200. Its totient is φ = 600765050880.

The previous prime is 2487829956473. The next prime is 2487829956487. The reversal of 2487829956480 is 846599287842.

2487829956480 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 8 + 2 + 99 + 56 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2487829956473) and next prime (2487829956487).

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 = 2487829956399 and 2487829956408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487829956487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1575572331 + ... + 1575573909.

It is an arithmetic number, because the mean of its divisors is an integer number (10899150075).

Almost surely, 2^{2487829956480} is an apocalyptic number.

2487829956480 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 2487829956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882819233600).

2487829956480 is an abundant number, since it is smaller than the sum of its proper divisors (7277808510720).

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

2487829956480 is a wasteful number, since it uses less digits than its factorization.

2487829956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 2487829956480 in words is "two trillion, four hundred eighty-seven billion, eight hundred twenty-nine million, nine hundred fifty-six thousand, four hundred eighty".