2064208464400 has 120 divisors (see below), whose sum is σ = 4968485996544. Its totient is φ = 824149248000.

The previous prime is 2064208464343. The next prime is 2064208464413. The reversal of 2064208464400 is 44648024602.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714999757 + ... + 715002643.

Almost surely, 2^{2064208464400} is an apocalyptic number.

2064208464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064208464400 is an abundant number, since it is smaller than the sum of its proper divisors (2904277532144).

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

2064208464400 is a wasteful number, since it uses less digits than its factorization.

2064208464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 2064208464400 in words is "two trillion, sixty-four billion, two hundred eight million, four hundred sixty-four thousand, four hundred".