2260137740 has 72 divisors (see below), whose sum is σ = 5553524592. Its totient is φ = 770367360.

The previous prime is 2260137727. The next prime is 2260137767. The reversal of 2260137740 is 477310622.

It is a junction number, because it is equal to n+sod(n) for n = 2260137697 and 2260137706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162875 + ... + 176205.

It is an arithmetic number, because the mean of its divisors is an integer number (77132286).

Almost surely, 2^2260137740 is an apocalyptic number.

2260137740 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 2260137740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776762296).

2260137740 is an abundant number, since it is smaller than the sum of its proper divisors (3293386852).

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

2260137740 is a wasteful number, since it uses less digits than its factorization.

2260137740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13527 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2260137740 is about 47540.9059652843. The cubic root of 2260137740 is about 1312.3357779717.

The spelling of 2260137740 in words is "two billion, two hundred sixty million, one hundred thirty-seven thousand, seven hundred forty".