2481296291040 has 576 divisors, whose sum is σ = 9477308510208. Its totient is φ = 533993472000.

The previous prime is 2481296291021. The next prime is 2481296291099. The reversal of 2481296291040 is 401926921842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142586340 + ... + 142603740.

It is an arithmetic number, because the mean of its divisors is an integer number (16453660608).

Almost surely, 2^{2481296291040} is an apocalyptic number.

2481296291040 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 2481296291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738654255104).

2481296291040 is an abundant number, since it is smaller than the sum of its proper divisors (6996012219168).

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

2481296291040 is a wasteful number, since it uses less digits than its factorization.

2481296291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17531 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 2481296291040 in words is "two trillion, four hundred eighty-one billion, two hundred ninety-six million, two hundred ninety-one thousand, forty".