2451067542 has 144 divisors (see below), whose sum is σ = 6923524608. Its totient is φ = 608778720.

The previous prime is 2451067529. The next prime is 2451067547. The reversal of 2451067542 is 2457601542.

It is a happy number.

2451067542 is a `hidden beast` number, since 2 + 4 + 5 + 106 + 7 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2451067497 and 2451067506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451067547) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 731523 + ... + 734865.

It is an arithmetic number, because the mean of its divisors is an integer number (48080032).

Almost surely, 2^2451067542 is an apocalyptic number.

2451067542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2451067542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461762304).

2451067542 is an abundant number, since it is smaller than the sum of its proper divisors (4472457066).

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

2451067542 is a wasteful number, since it uses less digits than its factorization.

2451067542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2451067542 is about 49508.2573112809. The cubic root of 2451067542 is about 1348.2955245989.

The spelling of 2451067542 in words is "two billion, four hundred fifty-one million, sixty-seven thousand, five hundred forty-two".