2541381480 has 512 divisors, whose sum is σ = 9918720000. Its totient is φ = 579467520.

The previous prime is 2541381467. The next prime is 2541381523. The reversal of 2541381480 is 841831452.

2541381480 is a `hidden beast` number, since 2 + 541 + 38 + 1 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18283251 + ... + 18283389.

It is an arithmetic number, because the mean of its divisors is an integer number (19372500).

Almost surely, 2^2541381480 is an apocalyptic number.

2541381480 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 2541381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360000).

2541381480 is an abundant number, since it is smaller than the sum of its proper divisors (7377338520).

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

2541381480 is a wasteful number, since it uses less digits than its factorization.

2541381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2541381480 is about 50412.1164007226. The cubic root of 2541381480 is about 1364.6563076245.

The spelling of 2541381480 in words is "two billion, five hundred forty-one million, three hundred eighty-one thousand, four hundred eighty".