2460906000 has 240 divisors, whose sum is σ = 9823502208. Its totient is φ = 562464000.

The previous prime is 2460905987. The next prime is 2460906037. The reversal of 2460906000 is 6090642.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116235 + ... + 135765.

Almost surely, 2^2460906000 is an apocalyptic number.

2460906000 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 2460906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911751104).

2460906000 is an abundant number, since it is smaller than the sum of its proper divisors (7362596208).

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

2460906000 is a wasteful number, since it uses less digits than its factorization.

2460906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19567 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2460906000 is about 49607.5195912878. The cubic root of 2460906000 is about 1350.0971123556.

Adding to 2460906000 its reverse (6090642), we get a palindrome (2466996642).

The spelling of 2460906000 in words is "two billion, four hundred sixty million, nine hundred six thousand".