2426857920 has 168 divisors, whose sum is σ = 8472641424. Its totient is φ = 637452288.

The previous prime is 2426857879. The next prime is 2426857931. The reversal of 2426857920 is 297586242.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 186672 + ... + 199248.

Almost surely, 2^2426857920 is an apocalyptic number.

2426857920 is a gapful number since it is divisible by the number (20) 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 2426857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236320712).

2426857920 is an abundant number, since it is smaller than the sum of its proper divisors (6045783504).

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

2426857920 is a wasteful number, since it uses less digits than its factorization.

2426857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2426857920 is about 49263.1497165985. The cubic root of 2426857920 is about 1343.8417118007.

The spelling of 2426857920 in words is "two billion, four hundred twenty-six million, eight hundred fifty-seven thousand, nine hundred twenty".