2872209648 has 320 divisors, whose sum is σ = 9690808320. Its totient is φ = 711244800.

The previous prime is 2872209643. The next prime is 2872209679. The reversal of 2872209648 is 8469022782.

It is a Cunningham number, because it is equal to 53593²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2872209597 and 2872209606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872209643) 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, 13612263 + ... + 13612473.

It is an arithmetic number, because the mean of its divisors is an integer number (30283776).

Almost surely, 2^2872209648 is an apocalyptic number.

2872209648 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 2872209648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845404160).

2872209648 is an abundant number, since it is smaller than the sum of its proper divisors (6818598672).

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

2872209648 is a wasteful number, since it uses less digits than its factorization.

2872209648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2872209648 is about 53592.9999906704. Note that the first 5 decimals coincide. The cubic root of 2872209648 is about 1421.4733184156.

The spelling of 2872209648 in words is "two billion, eight hundred seventy-two million, two hundred nine thousand, six hundred forty-eight".