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2573040900 = 2235222338461
BaseRepresentation
bin1001100101011101…
…0111110100000100
320122022122000120010
42121113113310010
520232144302100
61103153110220
7120522325653
oct23127276404
96568560503
102573040900
111100461791
125b9858370
133200c4111
141a5a2519a
15100d57750
hex995d7d04

2573040900 has 72 divisors (see below), whose sum is σ = 7478243584. Its totient is φ = 683049600.

The previous prime is 2573040893. The next prime is 2573040907. The reversal of 2573040900 is 90403752.

2573040900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2573040893) and next prime (2573040907).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2573040907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47670 + ... + 86130.

Almost surely, 22573040900 is an apocalyptic number.

2573040900 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 2573040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739121792).

2573040900 is an abundant number, since it is smaller than the sum of its proper divisors (4905202684).

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

2573040900 is a wasteful number, since it uses less digits than its factorization.

2573040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38701 (or 38694 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2573040900 is about 50725.1505665582. The cubic root of 2573040900 is about 1370.2997017792.

The spelling of 2573040900 in words is "two billion, five hundred seventy-three million, forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 2230 2676 3345 4460 5575 6690 11150 13380 16725 22300 33450 38461 66900 76922 115383 153844 192305 230766 384610 461532 576915 769220 961525 1153830 1923050 2307660 2884575 3846100 5769150 8576803 11538300 17153606 25730409 34307212 42884015 51460818 85768030 102921636 128652045 171536060 214420075 257304090 428840150 514608180 643260225 857680300 1286520450 2573040900