2484743987040 has 576 divisors, whose sum is σ = 9410465433600. Its totient is φ = 548922286080.

The previous prime is 2484743987029. The next prime is 2484743987057. The reversal of 2484743987040 is 407893474842.

It is a super-2 number, since 2×2484743987040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753179311 + ... + 753182609.

It is an arithmetic number, because the mean of its divisors is an integer number (16337613600).

Almost surely, 2^{2484743987040} is an apocalyptic number.

2484743987040 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 2484743987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705232716800).

2484743987040 is an abundant number, since it is smaller than the sum of its proper divisors (6925721446560).

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

2484743987040 is a wasteful number, since it uses less digits than its factorization.

2484743987040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 2484743987040 in words is "two trillion, four hundred eighty-four billion, seven hundred forty-three million, nine hundred eighty-seven thousand, forty".