2290376245248 has 1008 divisors, whose sum is σ = 8568455669760. Its totient is φ = 599298932736.

The previous prime is 2290376245247. The next prime is 2290376245279. The reversal of 2290376245248 is 8425426730922.

2290376245248 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 3 + 7 + 624 + 5 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2290376245194 and 2290376245203.

It is not an unprimeable number, because it can be changed into a prime (2290376245247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18034458561 + ... + 18034458687.

Almost surely, 2^{2290376245248} is an apocalyptic number.

2290376245248 is a gapful number since it is divisible by the number (28) 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 2290376245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284227834880).

2290376245248 is an abundant number, since it is smaller than the sum of its proper divisors (6278079424512).

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

2290376245248 is an frugal number, since it uses more digits than its factorization.

2290376245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2290376245248 in words is "two trillion, two hundred ninety billion, three hundred seventy-six million, two hundred forty-five thousand, two hundred forty-eight".