2609970048 has 192 divisors, whose sum is σ = 8618893920. Its totient is φ = 742625280.

The previous prime is 2609970029. The next prime is 2609970071. The reversal of 2609970048 is 8400799062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2609970048³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2609969985 and 2609970012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555778 + ... + 2556798.

Almost surely, 2^2609970048 is an apocalyptic number.

2609970048 is a gapful number since it is divisible by the number (28) 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 2609970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309446960).

2609970048 is an abundant number, since it is smaller than the sum of its proper divisors (6008923872).

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

2609970048 is a wasteful number, since it uses less digits than its factorization.

2609970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2609970048 is about 51087.8659566046. The cubic root of 2609970048 is about 1376.8242537669.

The spelling of 2609970048 in words is "two billion, six hundred nine million, nine hundred seventy thousand, forty-eight".