2450491004520 has 768 divisors, whose sum is σ = 8985024921600. Its totient is φ = 575132866560.

The previous prime is 2450491004491. The next prime is 2450491004531. The reversal of 2450491004520 is 254001940542.

It is a happy number.

2450491004520 is a `hidden beast` number, since 2 + 4 + 504 + 9 + 100 + 45 + 2 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 3298103269 + ... + 3298104011.

It is an arithmetic number, because the mean of its divisors is an integer number (11699251200).

Almost surely, 2^{2450491004520} is an apocalyptic number.

2450491004520 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 2450491004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492512460800).

2450491004520 is an abundant number, since it is smaller than the sum of its proper divisors (6534533917080).

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

2450491004520 is a wasteful number, since it uses less digits than its factorization.

2450491004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2450491004520 in words is "two trillion, four hundred fifty billion, four hundred ninety-one million, four thousand, five hundred twenty".