2601496800 has 432 divisors, whose sum is σ = 10646318592. Its totient is φ = 585446400.

The previous prime is 2601496783. The next prime is 2601496801. The reversal of 2601496800 is 86941062.

2601496800 is a `hidden beast` number, since 2 + 601 + 49 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601496801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3578037 + ... + 3578763.

It is an arithmetic number, because the mean of its divisors is an integer number (24644256).

Almost surely, 2^2601496800 is an apocalyptic number.

2601496800 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 2601496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296).

2601496800 is an abundant number, since it is smaller than the sum of its proper divisors (8044821792).

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

2601496800 is a wasteful number, since it uses less digits than its factorization.

2601496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2601496800 is about 51004.8703556827. The cubic root of 2601496800 is about 1375.3326886437.

The spelling of 2601496800 in words is "two billion, six hundred one million, four hundred ninety-six thousand, eight hundred".