2262835491840 has 2640 divisors, whose sum is σ = 10539149220864. Its totient is φ = 458912563200.

The previous prime is 2262835491809. The next prime is 2262835491871. The reversal of 2262835491840 is 481945382622.

2262835491840 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 83 + 549 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2262835491809) and next prime (2262835491871).

It is a tau number, because it is divible by the number of its divisors (2640).

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 239 ways as a sum of consecutive naturals, for example, 11847306145 + ... + 11847306335.

Almost surely, 2^{2262835491840} is an apocalyptic number.

2262835491840 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 2262835491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269574610432).

2262835491840 is an abundant number, since it is smaller than the sum of its proper divisors (8276313729024).

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

2262835491840 is a wasteful number, since it uses less digits than its factorization.

2262835491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2262835491840 in words is "two trillion, two hundred sixty-two billion, eight hundred thirty-five million, four hundred ninety-one thousand, eight hundred forty".