2467988640 has 144 divisors (see below), whose sum is σ = 9069927048. Its totient is φ = 607500288.

The previous prime is 2467988639. The next prime is 2467988669. The reversal of 2467988640 is 468897642.

It can be written as a sum of positive squares in 4 ways, for example, as 1027330704 + 1440657936 = 32052^2 + 37956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 47199 + ... + 84638.

Almost surely, 2^2467988640 is an apocalyptic number.

2467988640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2467988640 is an abundant number, since it is smaller than the sum of its proper divisors (6601938408).

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

2467988640 is a wasteful number, since it uses less digits than its factorization.

2467988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131871 (or 131860 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2467988640 is about 49678.8550592704. The cubic root of 2467988640 is about 1351.3910928201.

The spelling of 2467988640 in words is "two billion, four hundred sixty-seven million, nine hundred eighty-eight thousand, six hundred forty".