2420140262400 has 891 divisors, whose sum is σ = 10101799341621. Its totient is φ = 551980154880.

The previous prime is 2420140262383. The next prime is 2420140262411. The reversal of 2420140262400 is 42620410242.

The square root of 2420140262400 is 1555680.

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

2420140262400 is a `hidden beast` number, since 2 + 4 + 20 + 14 + 0 + 2 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 871250494464 + 1548889767936 = 933408^2 + 1244544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5227084569 + ... + 5227085031.

Almost surely, 2^{2420140262400} is an apocalyptic number.

2420140262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2420140262400 is the 1555680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420140262400

2420140262400 is an abundant number, since it is smaller than the sum of its proper divisors (7681659079221).

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

2420140262400 is an equidigital number, since it uses as much as digits as its factorization.

2420140262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2420140262400 its reverse (42620410242), we get a palindrome (2462760672642).

The spelling of 2420140262400 in words is "two trillion, four hundred twenty billion, one hundred forty million, two hundred sixty-two thousand, four hundred".