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2542452000000 = 2835611217103
BaseRepresentation
bin100100111111110101111…
…100101100010100000000
3100000001111211222121100220
4210333311330230110000
5313123420203000000
65223553013543040
7351454221266313
oct44776574542400
910001454877326
102542452000000
118a027a966200
123508b2044a80
131559a1758b73
148b0abb9897a
15462059e11a0
hex24ff5f2c500

2542452000000 has 1512 divisors, whose sum is σ = 9939461523264. Its totient is φ = 574464000000.

The previous prime is 2542451999999. The next prime is 2542452000019. The reversal of 2542452000000 is 2542452.

It is a happy number.

2542452000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24683999949 + ... + 24684000051.

Almost surely, 22542452000000 is an apocalyptic number.

2542452000000 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 2542452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969730761632).

2542452000000 is an abundant number, since it is smaller than the sum of its proper divisors (7397009523264).

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

2542452000000 is an equidigital number, since it uses as much as digits as its factorization.

2542452000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 2542452000000 its reverse (2542452), we get a palindrome (2542454542452).

2542452000000 divided by its reverse (2542452) gives a 6-th power (1000000 = 106).

The spelling of 2542452000000 in words is "two trillion, five hundred forty-two billion, four hundred fifty-two million", and thus it is an aban number.