2412970560 has 1344 divisors, whose sum is σ = 11929042944. Its totient is φ = 447897600.

The previous prime is 2412970541. The next prime is 2412970621. The reversal of 2412970560 is 650792142.

2412970560 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 97 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837745 + ... + 77837775.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^2412970560 is an apocalyptic number.

2412970560 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 2412970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964521472).

2412970560 is an abundant number, since it is smaller than the sum of its proper divisors (9516072384).

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

2412970560 is a wasteful number, since it uses less digits than its factorization.

2412970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2412970560 is about 49121.9967020886. The cubic root of 2412970560 is about 1341.2734904558.

The spelling of 2412970560 in words is "two billion, four hundred twelve million, nine hundred seventy thousand, five hundred sixty".