2452509840 has 160 divisors (see below), whose sum is σ = 8316432000. Its totient is φ = 592936960.

The previous prime is 2452509821. The next prime is 2452509841. The reversal of 2452509840 is 489052542.

It is not an unprimeable number, because it can be changed into a prime (2452509841) 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, 1184326 + ... + 1186394.

It is an arithmetic number, because the mean of its divisors is an integer number (51977700).

Almost surely, 2^2452509840 is an apocalyptic number.

2452509840 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 2452509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158216000).

2452509840 is an abundant number, since it is smaller than the sum of its proper divisors (5863922160).

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

2452509840 is a wasteful number, since it uses less digits than its factorization.

2452509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2452509840 is about 49522.8214058933. The cubic root of 2452509840 is about 1348.5599349149.

The spelling of 2452509840 in words is "two billion, four hundred fifty-two million, five hundred nine thousand, eight hundred forty".