2270801101824 has 880 divisors, whose sum is σ = 7416438340608. Its totient is φ = 690025070592.

The previous prime is 2270801101823. The next prime is 2270801101879. The reversal of 2270801101824 is 4281011080722.

It is a happy number.

It is a super-5 number, since 5×2270801101824⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2270801101823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3741022929 + ... + 3741023535.

Almost surely, 2^{2270801101824} is an apocalyptic number.

2270801101824 is a gapful number since it is divisible by the number (24) 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 2270801101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708219170304).

2270801101824 is an abundant number, since it is smaller than the sum of its proper divisors (5145637238784).

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

2270801101824 is a wasteful number, since it uses less digits than its factorization.

2270801101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 2270801101824 in words is "two trillion, two hundred seventy billion, eight hundred one million, one hundred one thousand, eight hundred twenty-four".