2062106400 has 144 divisors (see below), whose sum is σ = 7004176704. Its totient is φ = 525972480.

The previous prime is 2062106399. The next prime is 2062106429. The reversal of 2062106400 is 46012602.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36522 + ... + 73878.

It is an arithmetic number, because the mean of its divisors is an integer number (48640116).

Almost surely, 2^2062106400 is an apocalyptic number.

2062106400 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 2062106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502088352).

2062106400 is an abundant number, since it is smaller than the sum of its proper divisors (4942070304).

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

2062106400 is a wasteful number, since it uses less digits than its factorization.

2062106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37403 (or 37390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2062106400 is about 45410.4217113208. The cubic root of 2062106400 is about 1272.8298647047.

The spelling of 2062106400 in words is "two billion, sixty-two million, one hundred six thousand, four hundred".