2454400064 has 28 divisors (see below), whose sum is σ = 4872025308. Its totient is φ = 1226803200.

The previous prime is 2454400063. The next prime is 2454400093. The reversal of 2454400064 is 4600044542.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2170814464 + 283585600 = 46592^2 + 16840^2 .

It is not an unprimeable number, because it can be changed into a prime (2454400061) 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 3 ways as a sum of consecutive naturals, for example, 373124 + ... + 379644.

Almost surely, 2^2454400064 is an apocalyptic number.

It is an amenable number.

2454400064 is a deficient number, since it is larger than the sum of its proper divisors (2417625244).

2454400064 is an equidigital number, since it uses as much as digits as its factorization.

2454400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12404 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 2454400064 is about 49541.9021031692. The cubic root of 2454400064 is about 1348.9063046771.

The spelling of 2454400064 in words is "two billion, four hundred fifty-four million, four hundred thousand, sixty-four".