2259615840 has 48 divisors (see below), whose sum is σ = 7117791408. Its totient is φ = 602564096.

The previous prime is 2259615829. The next prime is 2259615847. The reversal of 2259615840 is 485169522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2259615792 and 2259615801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259615847) by changing a digit.

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, 2353287 + ... + 2354246.

It is an arithmetic number, because the mean of its divisors is an integer number (148287321).

Almost surely, 2^2259615840 is an apocalyptic number.

2259615840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259615840 is an abundant number, since it is smaller than the sum of its proper divisors (4858175568).

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

2259615840 is a wasteful number, since it uses less digits than its factorization.

2259615840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707551 (or 4707543 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2259615840 is about 47535.4166911367. The cubic root of 2259615840 is about 1312.2347574666.

The spelling of 2259615840 in words is "two billion, two hundred fifty-nine million, six hundred fifteen thousand, eight hundred forty".