2601458496 has 336 divisors, whose sum is σ = 9479328768. Its totient is φ = 663552000.

The previous prime is 2601458491. The next prime is 2601458557. The reversal of 2601458496 is 6948541062.

2601458496 is a `hidden beast` number, since 2 + 60 + 1 + 4 + 584 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601458491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624096 + ... + 1625696.

It is an arithmetic number, because the mean of its divisors is an integer number (28212288).

Almost surely, 2^2601458496 is an apocalyptic number.

2601458496 is a gapful number since it is divisible by the number (26) 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 2601458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739664384).

2601458496 is an abundant number, since it is smaller than the sum of its proper divisors (6877870272).

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

2601458496 is a wasteful number, since it uses less digits than its factorization.

2601458496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2601458496 is about 51004.4948607473. The cubic root of 2601458496 is about 1375.3259385551.

The spelling of 2601458496 in words is "two billion, six hundred one million, four hundred fifty-eight thousand, four hundred ninety-six".