2401221042 has 144 divisors (see below), whose sum is σ = 5960485440. Its totient is φ = 697498560.

The previous prime is 2401221013. The next prime is 2401221077.

2401221042 is a `hidden beast` number, since 2 + 401 + 221 + 0 + 42 = 666.

2401221042 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6688459 + ... + 6688817.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^2401221042 is an apocalyptic number.

2401221042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980242720).

2401221042 is an abundant number, since it is smaller than the sum of its proper divisors (3559264398).

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

2401221042 is a wasteful number, since it uses less digits than its factorization.

2401221042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2401221042 is about 49002.2554787022. The cubic root of 2401221042 is about 1339.0929188211.

It can be divided in two parts, 24012 and 21042, that added together give a palindrome (45054).

The spelling of 2401221042 in words is "two billion, four hundred one million, two hundred twenty-one thousand, forty-two".