2260420979040 has 480 divisors, whose sum is σ = 9121472990784. Its totient is φ = 516415979520.

The previous prime is 2260420979039. The next prime is 2260420979057. The reversal of 2260420979040 is 409790240622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2260420979040³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237409480 + ... + 237419000.

Almost surely, 2^{2260420979040} is an apocalyptic number.

2260420979040 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 2260420979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560736495392).

2260420979040 is an abundant number, since it is smaller than the sum of its proper divisors (6861052011744).

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

2260420979040 is a wasteful number, since it uses less digits than its factorization.

2260420979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2260420979040 in words is "two trillion, two hundred sixty billion, four hundred twenty million, nine hundred seventy-nine thousand, forty".