2426703840 has 384 divisors, whose sum is σ = 9347788800. Its totient is φ = 583096320.

The previous prime is 2426703833. The next prime is 2426703841. The reversal of 2426703840 is 483076242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2426703795 and 2426703804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426703841) 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 63 ways as a sum of consecutive naturals, for example, 10596846 + ... + 10597074.

It is an arithmetic number, because the mean of its divisors is an integer number (24343200).

Almost surely, 2^2426703840 is an apocalyptic number.

2426703840 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 2426703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673894400).

2426703840 is an abundant number, since it is smaller than the sum of its proper divisors (6921084960).

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

2426703840 is a wasteful number, since it uses less digits than its factorization.

2426703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2426703840 is about 49261.5858453623. The cubic root of 2426703840 is about 1343.8132712519.

It can be divided in two parts, 2426 and 703840, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 2426703840 in words is "two billion, four hundred twenty-six million, seven hundred three thousand, eight hundred forty".