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2542359402 = 2321131341023
BaseRepresentation
bin1001011110001001…
…0101001101101010
320120011220020110100
42113202111031222
520201321000102
61100135330230
7120000461352
oct22742251552
96504806410
102542359402
111095106280
125ab520976
13316940b9b
141a1919b62
15ed2e6a1c
hex9789536a

2542359402 has 48 divisors (see below), whose sum is σ = 6028558848. Its totient is φ = 767931840.

The previous prime is 2542359397. The next prime is 2542359419. The reversal of 2542359402 is 2049532452.

2542359402 is a `hidden beast` number, since 25 + 42 + 3 + 594 + 0 + 2 = 666.

2542359402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41463 + ... + 82485.

It is an arithmetic number, because the mean of its divisors is an integer number (125594976).

Almost surely, 22542359402 is an apocalyptic number.

2542359402 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 2542359402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014279424).

2542359402 is an abundant number, since it is smaller than the sum of its proper divisors (3486199446).

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

2542359402 is a wasteful number, since it uses less digits than its factorization.

2542359402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41355 (or 41352 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2542359402 is about 50421.8147432240. The cubic root of 2542359402 is about 1364.8313248081.

The spelling of 2542359402 in words is "two billion, five hundred forty-two million, three hundred fifty-nine thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 313 626 939 1878 2817 3443 5634 6886 10329 20658 30987 41023 61974 82046 123069 246138 369207 451253 738414 902506 1353759 2707518 4061277 8122554 12840199 25680398 38520597 77041194 115561791 141242189 231123582 282484378 423726567 847453134 1271179701 2542359402