2453199840 has 576 divisors, whose sum is σ = 10463596416. Its totient is φ = 509607936.

The previous prime is 2453199811. The next prime is 2453199857. The reversal of 2453199840 is 489913542.

2453199840 is a `hidden beast` number, since 2 + 453 + 199 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12710784 + ... + 12710976.

It is an arithmetic number, because the mean of its divisors is an integer number (18165966).

Almost surely, 2^2453199840 is an apocalyptic number.

2453199840 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 2453199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231798208).

2453199840 is an abundant number, since it is smaller than the sum of its proper divisors (8010396576).

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

2453199840 is a wasteful number, since it uses less digits than its factorization.

2453199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2453199840 is about 49529.7874011185. The cubic root of 2453199840 is about 1348.6863930014.

The spelling of 2453199840 in words is "two billion, four hundred fifty-three million, one hundred ninety-nine thousand, eight hundred forty".