2481145188480 has 2560 divisors, whose sum is σ = 11055904358400. Its totient is φ = 518088130560.

The previous prime is 2481145188451. The next prime is 2481145188499. The reversal of 2481145188480 is 848815411842.

2481145188480 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 145 + 18 + 8 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31406901081 + ... + 31406901159.

It is an arithmetic number, because the mean of its divisors is an integer number (4318712640).

Almost surely, 2^{2481145188480} is an apocalyptic number.

2481145188480 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 2481145188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527952179200).

2481145188480 is an abundant number, since it is smaller than the sum of its proper divisors (8574759169920).

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

2481145188480 is a wasteful number, since it uses less digits than its factorization.

2481145188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 2481145188480 in words is "two trillion, four hundred eighty-one billion, one hundred forty-five million, one hundred eighty-eight thousand, four hundred eighty".