2062064354400 has 864 divisors, whose sum is σ = 7837328378880. Its totient is φ = 508333916160.

The previous prime is 2062064354393. The next prime is 2062064354407. The reversal of 2062064354400 is 44534602602.

2062064354400 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 0 + 643 + 5 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2062064354393) and next prime (2062064354407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2062064354407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1694382592 + ... + 1694383808.

It is an arithmetic number, because the mean of its divisors is an integer number (9070981920).

Almost surely, 2^{2062064354400} is an apocalyptic number.

2062064354400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2062064354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918664189440).

2062064354400 is an abundant number, since it is smaller than the sum of its proper divisors (5775264024480).

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

2062064354400 is a wasteful number, since it uses less digits than its factorization.

2062064354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2062064354400 in words is "two trillion, sixty-two billion, sixty-four million, three hundred fifty-four thousand, four hundred".