2400256840 has 32 divisors (see below), whose sum is σ = 5574792960. Its totient is φ = 929131200.

The previous prime is 2400256829. The next prime is 2400256883. The reversal of 2400256840 is 486520042.

It is a super-3 number, since 3×2400256840³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966606 + ... + 969085.

It is an arithmetic number, because the mean of its divisors is an integer number (174212280).

Almost surely, 2^2400256840 is an apocalyptic number.

2400256840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400256840 is an abundant number, since it is smaller than the sum of its proper divisors (3174536120).

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

2400256840 is a wasteful number, since it uses less digits than its factorization.

2400256840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935733 (or 1935729 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2400256840 is about 48992.4161478080. The cubic root of 2400256840 is about 1338.9136587826.

Adding to 2400256840 its reverse (486520042), we get a palindrome (2886776882).

The spelling of 2400256840 in words is "two billion, four hundred million, two hundred fifty-six thousand, eight hundred forty".