2262145751040 has 768 divisors, whose sum is σ = 8808970060800. Its totient is φ = 483787800576.

The previous prime is 2262145751027. The next prime is 2262145751077. The reversal of 2262145751040 is 401575412622.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2262145751040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2262145751040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654364992 + ... + 654368448.

It is an arithmetic number, because the mean of its divisors is an integer number (11470013100).

Almost surely, 2^{2262145751040} is an apocalyptic number.

2262145751040 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 2262145751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404485030400).

2262145751040 is an abundant number, since it is smaller than the sum of its proper divisors (6546824309760).

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

2262145751040 is a wasteful number, since it uses less digits than its factorization.

2262145751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 2262145751040 in words is "two trillion, two hundred sixty-two billion, one hundred forty-five million, seven hundred fifty-one thousand, forty".