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2525994240 = 28357118543
BaseRepresentation
bin1001011010001111…
…1001110100000000
320112001002210200020
42112203321310000
520133123303430
61054352453440
7116411411460
oct22643716400
96461083606
102525994240
111086948950
125a5b4a280
13313431063
1419d699ba0
15ebb62b10
hex968f9d00

2525994240 has 288 divisors, whose sum is σ = 10059227136. Its totient is φ = 524820480.

The previous prime is 2525994217. The next prime is 2525994259. The reversal of 2525994240 is 424995252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2525994192 and 2525994201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291409 + ... + 299951.

It is an arithmetic number, because the mean of its divisors is an integer number (34927872).

Almost surely, 22525994240 is an apocalyptic number.

2525994240 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 2525994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029613568).

2525994240 is an abundant number, since it is smaller than the sum of its proper divisors (7533232896).

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

2525994240 is a wasteful number, since it uses less digits than its factorization.

2525994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2525994240 is about 50259.2701896874. The cubic root of 2525994240 is about 1361.8965466175.

The spelling of 2525994240 in words is "two billion, five hundred twenty-five million, nine hundred ninety-four thousand, two hundred forty".