2464949376 has 192 divisors, whose sum is σ = 7642851840. Its totient is φ = 760320000.

The previous prime is 2464949371. The next prime is 2464949413. The reversal of 2464949376 is 6739494642.

2464949376 is a `hidden beast` number, since 2 + 46 + 49 + 493 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2464949371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819876 + ... + 822876.

It is an arithmetic number, because the mean of its divisors is an integer number (39806520).

Almost surely, 2^2464949376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821425920).

2464949376 is an abundant number, since it is smaller than the sum of its proper divisors (5177902464).

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

2464949376 is a wasteful number, since it uses less digits than its factorization.

2464949376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3060 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2464949376 is about 49648.2565252799. The cubic root of 2464949376 is about 1350.8361305903.

The spelling of 2464949376 in words is "two billion, four hundred sixty-four million, nine hundred forty-nine thousand, three hundred seventy-six".