2061424400 has 240 divisors, whose sum is σ = 5978188800. Its totient is φ = 668129280.

The previous prime is 2061424373. The next prime is 2061424441. The reversal of 2061424400 is 44241602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4303361 + ... + 4303839.

It is an arithmetic number, because the mean of its divisors is an integer number (24909120).

Almost surely, 2^2061424400 is an apocalyptic number.

2061424400 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 2061424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989094400).

2061424400 is an abundant number, since it is smaller than the sum of its proper divisors (3916764400).

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

2061424400 is a wasteful number, since it uses less digits than its factorization.

2061424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2061424400 is about 45402.9118008966. The cubic root of 2061424400 is about 1272.6895283179.

The spelling of 2061424400 in words is "two billion, sixty-one million, four hundred twenty-four thousand, four hundred".