2452842000 has 720 divisors, whose sum is σ = 10435082112. Its totient is φ = 555206400.

The previous prime is 2452841981. The next prime is 2452842019. The reversal of 2452842000 is 2482542.

It is a happy number.

2452842000 is a `hidden beast` number, since 2 + 452 + 8 + 4 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2452841981) and next prime (2452842019).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23813949 + ... + 23814051.

Almost surely, 2^2452842000 is an apocalyptic number.

2452842000 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 2452842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217541056).

2452842000 is an abundant number, since it is smaller than the sum of its proper divisors (7982240112).

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

2452842000 is a wasteful number, since it uses less digits than its factorization.

2452842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2452842000 is about 49526.1748977245. The cubic root of 2452842000 is about 1348.6208136984.

The spelling of 2452842000 in words is "two billion, four hundred fifty-two million, eight hundred forty-two thousand".