2467648260 has 384 divisors, whose sum is σ = 10137415680. Its totient is φ = 482457600.

The previous prime is 2467648229. The next prime is 2467648307. The reversal of 2467648260 is 628467642.

2467648260 is a `hidden beast` number, since 2 + 46 + 76 + 482 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 705115 + ... + 708605.

It is an arithmetic number, because the mean of its divisors is an integer number (26399520).

Almost surely, 2^2467648260 is an apocalyptic number.

2467648260 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 2467648260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068707840).

2467648260 is an abundant number, since it is smaller than the sum of its proper divisors (7669767420).

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

2467648260 is a wasteful number, since it uses less digits than its factorization.

2467648260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2467648260 is about 49675.4291375525. The cubic root of 2467648260 is about 1351.3289629220.

2467648260 divided by its sum of digits (45) gives a triangular number (54836628 = T₁₀₄₇₂).

The spelling of 2467648260 in words is "two billion, four hundred sixty-seven million, six hundred forty-eight thousand, two hundred sixty".