2452974480 has 240 divisors, whose sum is σ = 9460376640. Its totient is φ = 563328000.

The previous prime is 2452974457. The next prime is 2452974481. The reversal of 2452974480 is 844792542.

2452974480 is a `hidden beast` number, since 2 + 4 + 529 + 7 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2452974481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142330 + ... + 158630.

It is an arithmetic number, because the mean of its divisors is an integer number (39418236).

Almost surely, 2^2452974480 is an apocalyptic number.

2452974480 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 2452974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730188320).

2452974480 is an abundant number, since it is smaller than the sum of its proper divisors (7007402160).

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

2452974480 is a wasteful number, since it uses less digits than its factorization.

2452974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2452974480 is about 49527.5123542461. The cubic root of 2452974480 is about 1348.6450932986.

The spelling of 2452974480 in words is "two billion, four hundred fifty-two million, nine hundred seventy-four thousand, four hundred eighty".