2314651248 has 320 divisors, whose sum is σ = 8275025920. Its totient is φ = 603168768.

The previous prime is 2314651247. The next prime is 2314651277. The reversal of 2314651248 is 8421564132.

It is a happy number.

2314651248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2314651248² = 10715220799735915008, which contains 22 as substring.

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 (2314651247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3812961 + ... + 3813567.

It is an arithmetic number, because the mean of its divisors is an integer number (25859456).

Almost surely, 2^2314651248 is an apocalyptic number.

2314651248 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 2314651248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137512960).

2314651248 is an abundant number, since it is smaller than the sum of its proper divisors (5960374672).

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

2314651248 is a wasteful number, since it uses less digits than its factorization.

2314651248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2314651248 is about 48110.8225662376. The cubic root of 2314651248 is about 1322.8030517035.

The spelling of 2314651248 in words is "two billion, three hundred fourteen million, six hundred fifty-one thousand, two hundred forty-eight".