2469813840 has 120 divisors (see below), whose sum is σ = 8932527240. Its totient is φ = 607951872.

The previous prime is 2469813823. The next prime is 2469813847. The reversal of 2469813840 is 483189642.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 2466910224 = 1704^2 + 49668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469813847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122575 + ... + 141294.

It is an arithmetic number, because the mean of its divisors is an integer number (74437727).

Almost surely, 2^2469813840 is an apocalyptic number.

2469813840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2469813840 is an abundant number, since it is smaller than the sum of its proper divisors (6462713400).

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

2469813840 is a wasteful number, since it uses less digits than its factorization.

2469813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263901 (or 263892 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2469813840 is about 49697.2216527242. The cubic root of 2469813840 is about 1351.7241509746.

The spelling of 2469813840 in words is "two billion, four hundred sixty-nine million, eight hundred thirteen thousand, eight hundred forty".