2452999680 has 320 divisors, whose sum is σ = 9097989120. Its totient is φ = 625287168.

The previous prime is 2452999667. The next prime is 2452999687. The reversal of 2452999680 is 869992542.

It is a happy number.

2452999680 is a `hidden beast` number, since 24 + 529 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452999687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588989 + ... + 1590531.

It is an arithmetic number, because the mean of its divisors is an integer number (28431216).

Almost surely, 2^2452999680 is an apocalyptic number.

2452999680 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 2452999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548994560).

2452999680 is an abundant number, since it is smaller than the sum of its proper divisors (6644989440).

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

2452999680 is a wasteful number, since it uses less digits than its factorization.

2452999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2452999680 is about 49527.7667576482. The cubic root of 2452999680 is about 1348.6497116018.

The spelling of 2452999680 in words is "two billion, four hundred fifty-two million, nine hundred ninety-nine thousand, six hundred eighty".