2292122448 has 400 divisors, whose sum is σ = 8388796416. Its totient is φ = 586932480.

The previous prime is 2292122419. The next prime is 2292122449. The reversal of 2292122448 is 8442212922.

2292122448 is a `hidden beast` number, since 2 + 2 + 92 + 122 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292122449) 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, 10278465 + ... + 10278687.

Almost surely, 2^2292122448 is an apocalyptic number.

2292122448 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 2292122448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194398208).

2292122448 is an abundant number, since it is smaller than the sum of its proper divisors (6096673968).

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

2292122448 is a wasteful number, since it uses less digits than its factorization.

2292122448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2292122448 is about 47876.1156319098. The cubic root of 2292122448 is about 1318.4973810553.

It can be divided in two parts, 22921 and 22448, that added together give a square (45369 = 213²).

The spelling of 2292122448 in words is "two billion, two hundred ninety-two million, one hundred twenty-two thousand, four hundred forty-eight".