2469900960 has 288 divisors, whose sum is σ = 8742045312. Its totient is φ = 634521600.

The previous prime is 2469900949. The next prime is 2469901013. The reversal of 2469900960 is 690099642.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2469900960² = 12200821504417843200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8045127 + ... + 8045433.

It is an arithmetic number, because the mean of its divisors is an integer number (30354324).

Almost surely, 2^2469900960 is an apocalyptic number.

2469900960 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 2469900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371022656).

2469900960 is an abundant number, since it is smaller than the sum of its proper divisors (6272144352).

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

2469900960 is a wasteful number, since it uses less digits than its factorization.

2469900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2469900960 is about 49698.0981527462. The cubic root of 2469900960 is about 1351.7400443213.

The spelling of 2469900960 in words is "two billion, four hundred sixty-nine million, nine hundred thousand, nine hundred sixty".