2438464720 has 40 divisors (see below), whose sum is σ = 5733148680. Its totient is φ = 964423680.

The previous prime is 2438464703. The next prime is 2438464759. The reversal of 2438464720 is 274648342.

It can be written as a sum of positive squares in 4 ways, for example, as 604569744 + 1833894976 = 24588^2 + 42824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2438464720² = 11892220381369356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164121 + ... + 178360.

It is an arithmetic number, because the mean of its divisors is an integer number (143328717).

Almost surely, 2^2438464720 is an apocalyptic number.

2438464720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2438464720 is an abundant number, since it is smaller than the sum of its proper divisors (3294683960).

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

2438464720 is a wasteful number, since it uses less digits than its factorization.

2438464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342583 (or 342577 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 2438464720 is about 49380.8132780334. The cubic root of 2438464720 is about 1345.9806780777.

The spelling of 2438464720 in words is "two billion, four hundred thirty-eight million, four hundred sixty-four thousand, seven hundred twenty".