2472887034880 has 176 divisors, whose sum is σ = 6146757310320. Its totient is φ = 953462816768.

The previous prime is 2472887034833. The next prime is 2472887034881. The reversal of 2472887034880 is 884307882742.

It can be written as a sum of positive squares in 8 ways, for example, as 907705885696 + 1565181149184 = 952736^2 + 1251072^2 .

It is a super-2 number, since 2×2472887034880² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2472887034881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91598664 + ... + 91625656.

It is an arithmetic number, because the mean of its divisors is an integer number (34924757445).

Almost surely, 2^{2472887034880} is an apocalyptic number.

2472887034880 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 2472887034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073378655160).

2472887034880 is an abundant number, since it is smaller than the sum of its proper divisors (3673870275440).

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

2472887034880 is a wasteful number, since it uses less digits than its factorization.

2472887034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27664 (or 27646 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 61.

The spelling of 2472887034880 in words is "two trillion, four hundred seventy-two billion, eight hundred eighty-seven million, thirty-four thousand, eight hundred eighty".