2985252480 has 384 divisors, whose sum is σ = 12029472000. Its totient is φ = 681891840.

The previous prime is 2985252467. The next prime is 2985252509. The reversal of 2985252480 is 842525892.

2985252480 is a `hidden beast` number, since 29 + 8 + 525 + 24 + 80 = 666.

2985252480 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 tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974925 + ... + 1976435.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^2985252480 is an apocalyptic number.

2985252480 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 2985252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

2985252480 is an abundant number, since it is smaller than the sum of its proper divisors (9044219520).

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

2985252480 is a wasteful number, since it uses less digits than its factorization.

2985252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2985252480 is about 54637.4640699950. The cubic root of 2985252480 is about 1439.8823978033.

The spelling of 2985252480 in words is "two billion, nine hundred eighty-five million, two hundred fifty-two thousand, four hundred eighty".