2601996480 has 224 divisors, whose sum is σ = 9331634880. Its totient is φ = 682352640.

The previous prime is 2601996479. The next prime is 2601996487. The reversal of 2601996480 is 846991062.

It is a happy number.

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 (2601996487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524572 + ... + 529508.

Almost surely, 2^2601996480 is an apocalyptic number.

2601996480 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 2601996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665817440).

2601996480 is an abundant number, since it is smaller than the sum of its proper divisors (6729638400).

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

2601996480 is a wasteful number, since it uses less digits than its factorization.

2601996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2601996480 is about 51009.7684762438. The cubic root of 2601996480 is about 1375.4207382418.

The spelling of 2601996480 in words is "two billion, six hundred one million, nine hundred ninety-six thousand, four hundred eighty".