2262348098640 has 2880 divisors, whose sum is σ = 10493293029120. Its totient is φ = 450352078848.

The previous prime is 2262348098603. The next prime is 2262348098651. The reversal of 2262348098640 is 468908432622.

2262348098640 is a `hidden beast` number, since 2 + 2 + 623 + 4 + 8 + 0 + 9 + 8 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52612746459 + ... + 52612746501.

It is an arithmetic number, because the mean of its divisors is an integer number (3643504524).

Almost surely, 2^{2262348098640} is an apocalyptic number.

2262348098640 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 2262348098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246646514560).

2262348098640 is an abundant number, since it is smaller than the sum of its proper divisors (8230944930480).

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

2262348098640 is a wasteful number, since it uses less digits than its factorization.

2262348098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2262348098640 in words is "two trillion, two hundred sixty-two billion, three hundred forty-eight million, ninety-eight thousand, six hundred forty".