2120420400 has 120 divisors (see below), whose sum is σ = 7762788864. Its totient is φ = 484665600.

The previous prime is 2120420399. The next prime is 2120420413. The reversal of 2120420400 is 40240212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2120420400.

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, 117816 + ... + 134615.

Almost surely, 2^2120420400 is an apocalyptic number.

2120420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120420400 is an abundant number, since it is smaller than the sum of its proper divisors (5642368464).

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

2120420400 is a wasteful number, since it uses less digits than its factorization.

2120420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252459 (or 252448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2120420400 is about 46048.0227588547. The cubic root of 2120420400 is about 1284.7165670607.

Adding to 2120420400 its reverse (40240212), we get a palindrome (2160660612).

The spelling of 2120420400 in words is "two billion, one hundred twenty million, four hundred twenty thousand, four hundred".