2487460970880 has 384 divisors, whose sum is σ = 8872900358400. Its totient is φ = 641468989440.

The previous prime is 2487460970833. The next prime is 2487460970881. The reversal of 2487460970880 is 880790647842.

2487460970880 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 460 + 97 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487460970881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303012216 + ... + 303020424.

It is an arithmetic number, because the mean of its divisors is an integer number (23106511350).

Almost surely, 2^{2487460970880} is an apocalyptic number.

2487460970880 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 2487460970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436450179200).

2487460970880 is an abundant number, since it is smaller than the sum of its proper divisors (6385439387520).

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

2487460970880 is a wasteful number, since it uses less digits than its factorization.

2487460970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 2487460970880 in words is "two trillion, four hundred eighty-seven billion, four hundred sixty million, nine hundred seventy thousand, eight hundred eighty".