2423454264 has 384 divisors, whose sum is σ = 8626176000. Its totient is φ = 596332800.

The previous prime is 2423454263. The next prime is 2423454277. The reversal of 2423454264 is 4624543242.

2423454264 is a `hidden beast` number, since 24 + 2 + 34 + 542 + 64 = 666.

Together with 6202721735 it forms a betrothed pair.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423454263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10139857 + ... + 10140095.

It is an arithmetic number, because the mean of its divisors is an integer number (22464000).

Almost surely, 2^2423454264 is an apocalyptic number.

2423454264 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 2423454264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313088000).

2423454264 is an abundant number, since it is smaller than the sum of its proper divisors (6202721736).

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

2423454264 is a wasteful number, since it uses less digits than its factorization.

2423454264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 2423454264 is about 49228.5919359878. The cubic root of 2423454264 is about 1343.2131741264.

It can be divided in two parts, 242 and 3454264, that added together give a triangular number (3454506 = T₂₆₂₈).

The spelling of 2423454264 in words is "two billion, four hundred twenty-three million, four hundred fifty-four thousand, two hundred sixty-four".