2480609975040 has 288 divisors, whose sum is σ = 8807678577600. Its totient is φ = 661123399680.

The previous prime is 2480609975009. The next prime is 2480609975047. The reversal of 2480609975040 is 405799060842.

2480609975040 is a `hidden beast` number, since 2 + 48 + 0 + 6 + 0 + 9 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2480609975047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64296876 + ... + 64335444.

Almost surely, 2^{2480609975040} is an apocalyptic number.

2480609975040 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 2480609975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403839288800).

2480609975040 is an abundant number, since it is smaller than the sum of its proper divisors (6327068602560).

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

2480609975040 is a wasteful number, since it uses less digits than its factorization.

2480609975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40460 (or 40440 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2480609975040 in words is "two trillion, four hundred eighty billion, six hundred nine million, nine hundred seventy-five thousand, forty".