2474242848000 has 4320 divisors, whose sum is σ = 12315548044800. Its totient is φ = 491774976000.

The previous prime is 2474242847957. The next prime is 2474242848043. The reversal of 2474242848000 is 8482424742.

2474242848000 is a `hidden beast` number, since 2 + 474 + 24 + 2 + 84 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2474242847957) and next prime (2474242848043).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×2474242848000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 107575775989 + ... + 107575776011.

Almost surely, 2^{2474242848000} is an apocalyptic number.

2474242848000 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 2474242848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157774022400).

2474242848000 is an abundant number, since it is smaller than the sum of its proper divisors (9841305196800).

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

2474242848000 is an equidigital number, since it uses as much as digits as its factorization.

2474242848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 2474242848000 in words is "two trillion, four hundred seventy-four billion, two hundred forty-two million, eight hundred forty-eight thousand".