2260974240 has 144 divisors (see below), whose sum is σ = 8817838848. Its totient is φ = 516791808.

The previous prime is 2260974229. The next prime is 2260974277. The reversal of 2260974240 is 424790622.

2260974240 is a `hidden beast` number, since 2 + 2 + 609 + 7 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2260974240² = 10224009027887155200, which contains 22 as substring.

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 = 2260974195 and 2260974204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102072 + ... + 122231.

It is an arithmetic number, because the mean of its divisors is an integer number (61234992).

Almost surely, 2^2260974240 is an apocalyptic number.

2260974240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260974240 is an abundant number, since it is smaller than the sum of its proper divisors (6556864608).

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

2260974240 is a wasteful number, since it uses less digits than its factorization.

2260974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224331 (or 224320 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2260974240 is about 47549.7028381882. The cubic root of 2260974240 is about 1312.4976609482.

The spelling of 2260974240 in words is "two billion, two hundred sixty million, nine hundred seventy-four thousand, two hundred forty".