2290451978360 has 256 divisors, whose sum is σ = 6414447594240. Its totient is φ = 716720947200.

The previous prime is 2290451978333. The next prime is 2290451978363. The reversal of 2290451978360 is 638791540922.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2290451978296 and 2290451978305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290451978363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293005172 + ... + 293012988.

It is an arithmetic number, because the mean of its divisors is an integer number (25056435915).

It is a 1-persistent number, because it is pandigital, but 2⋅2290451978360 = 4580903956720 is not.

Almost surely, 2^{2290451978360} is an apocalyptic number.

2290451978360 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 2290451978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207223797120).

2290451978360 is an abundant number, since it is smaller than the sum of its proper divisors (4123995615880).

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

2290451978360 is a wasteful number, since it uses less digits than its factorization.

2290451978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 2290451978360 in words is "two trillion, two hundred ninety billion, four hundred fifty-one million, nine hundred seventy-eight thousand, three hundred sixty".