2400020100 has 243 divisors, whose sum is σ = 7976346469. Its totient is φ = 603556800.

The previous prime is 2400020087. The next prime is 2400020107. The reversal of 2400020100 is 10200042.

The square root of 2400020100 is 48990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 864007236 + 1536012864 = 29394^2 + 39192^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400020107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33803065 + ... + 33803135.

Almost surely, 2^2400020100 is an apocalyptic number.

2400020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2400020100 is the 48990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400020100

2400020100 is an abundant number, since it is smaller than the sum of its proper divisors (5576326369).

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

2400020100 is a wasteful number, since it uses less digits than its factorization.

2400020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 2400020100 is about 1338.8696378212.

Multiplying 2400020100 by its product of nonzero digits (16), we get a square (38400321600 = 195960²).

Adding to 2400020100 its reverse (10200042), we get a palindrome (2410220142).

It can be divided in two parts, 24000 and 20100, that added together give a square (44100 = 210²).

The spelling of 2400020100 in words is "two billion, four hundred million, twenty thousand, one hundred".