2541039480 has 384 divisors, whose sum is σ = 10084838400. Its totient is φ = 541956096.

The previous prime is 2541039467. The next prime is 2541039509. The reversal of 2541039480 is 849301452.

2541039480 is a `hidden beast` number, since 2 + 541 + 0 + 39 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3494877 + ... + 3495603.

It is an arithmetic number, because the mean of its divisors is an integer number (26262600).

Almost surely, 2^2541039480 is an apocalyptic number.

2541039480 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 2541039480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042419200).

2541039480 is an abundant number, since it is smaller than the sum of its proper divisors (7543798920).

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

2541039480 is a wasteful number, since it uses less digits than its factorization.

2541039480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2541039480 is about 50408.7242449162. The cubic root of 2541039480 is about 1364.5950898186.

The spelling of 2541039480 in words is "two billion, five hundred forty-one million, thirty-nine thousand, four hundred eighty".