2458626480 has 320 divisors, whose sum is σ = 8783723520. Its totient is φ = 631701504.

The previous prime is 2458626463. The next prime is 2458626481. The reversal of 2458626480 is 846268542.

2458626480 is a `hidden beast` number, since 2 + 4 + 586 + 2 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2458626481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9566512 + ... + 9566768.

It is an arithmetic number, because the mean of its divisors is an integer number (27449136).

Almost surely, 2^2458626480 is an apocalyptic number.

2458626480 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 2458626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391861760).

2458626480 is an abundant number, since it is smaller than the sum of its proper divisors (6325097040).

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

2458626480 is a wasteful number, since it uses less digits than its factorization.

2458626480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2458626480 is about 49584.5387192419. The cubic root of 2458626480 is about 1349.6801217427.

The spelling of 2458626480 in words is "two billion, four hundred fifty-eight million, six hundred twenty-six thousand, four hundred eighty".