2401257144 has 128 divisors (see below), whose sum is σ = 7072692480. Its totient is φ = 669772800.

The previous prime is 2401257143. The next prime is 2401257161. The reversal of 2401257144 is 4417521042.

It is a super-2 number, since 2×2401257144² = 11532071743222073472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401257143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567659 + ... + 1569189.

It is an arithmetic number, because the mean of its divisors is an integer number (55255410).

Almost surely, 2^2401257144 is an apocalyptic number.

2401257144 is a gapful number since it is divisible by the number (24) 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 2401257144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536346240).

2401257144 is an abundant number, since it is smaller than the sum of its proper divisors (4671435336).

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

2401257144 is a wasteful number, since it uses less digits than its factorization.

2401257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2401257144 is about 49002.6238481165. The cubic root of 2401257144 is about 1339.0996298082.

Adding to 2401257144 its reverse (4417521042), we get a palindrome (6818778186).

The spelling of 2401257144 in words is "two billion, four hundred one million, two hundred fifty-seven thousand, one hundred forty-four".