2064214034400 has 144 divisors (see below), whose sum is σ = 7678876270464. Its totient is φ = 471820346880.

The previous prime is 2064214034387. The next prime is 2064214034479. The reversal of 2064214034400 is 44304124602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 61418142 + ... + 61451741.

It is an arithmetic number, because the mean of its divisors is an integer number (53325529656).

Almost surely, 2^{2064214034400} is an apocalyptic number.

2064214034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064214034400 is an abundant number, since it is smaller than the sum of its proper divisors (5614662236064).

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

2064214034400 is a wasteful number, since it uses less digits than its factorization.

2064214034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122869913 (or 122869900 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2064214034400 in words is "two trillion, sixty-four billion, two hundred fourteen million, thirty-four thousand, four hundred".